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Finding the Third Proportional to 262,490,584 and 574,384,048

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Solution

The third proportional to 262,490,584 and 574,384,048 is: 1,256,871,883.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,490,584 : 574,384,048 = 574,384,048 : x
  2. Step 2: Convert to fraction form
    262,490,584/574,384,048 = 574,384,048/x
  3. Step 3: Cross multiply
    262,490,584x = 574,384,048 × 574,384,048
  4. Step 4: Simplify right side
    262,490,584x = 329,917,034,596,866,304
  5. Step 5: Solve for x
    x = 329,917,034,596,866,304/262,490,584
  6. Step 6: Final answer
    x = 1,256,871,883.06

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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.