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Finding the Third Proportional to 262,366,152.25 and 574,156,560.25

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Solution

The third proportional to 262,366,152.25 and 574,156,560.25 is: 1,256,472,120.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,366,152.25 : 574,156,560.25 = 574,156,560.25 : x
  2. Step 2: Convert to fraction form
    262,366,152.25/574,156,560.25 = 574,156,560.25/x
  3. Step 3: Cross multiply
    262,366,152.25x = 574,156,560.25 × 574,156,560.25
  4. Step 4: Simplify right side
    262,366,152.25x = 329,655,755,678,111,872
  5. Step 5: Solve for x
    x = 329,655,755,678,111,872/262,366,152.25
  6. Step 6: Final answer
    x = 1,256,472,120.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.