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Finding the Third Proportional to 262,147.50 and 573,356.25

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Solution

The third proportional to 262,147.50 and 573,356.25 is: 1,254,016.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,147.50 : 573,356.25 = 573,356.25 : x
  2. Step 2: Convert to fraction form
    262,147.50/573,356.25 = 573,356.25/x
  3. Step 3: Cross multiply
    262,147.50x = 573,356.25 × 573,356.25
  4. Step 4: Simplify right side
    262,147.50x = 328,737,389,414.06
  5. Step 5: Solve for x
    x = 328,737,389,414.06/262,147.50
  6. Step 6: Final answer
    x = 1,254,016.88

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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.