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Finding the Third Proportional to 261,415.13 and 572,032.13

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Solution

The third proportional to 261,415.13 and 572,032.13 is: 1,251,728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,415.13 : 572,032.13 = 572,032.13 : x
  2. Step 2: Convert to fraction form
    261,415.13/572,032.13 = 572,032.13/x
  3. Step 3: Cross multiply
    261,415.13x = 572,032.13 × 572,032.13
  4. Step 4: Simplify right side
    261,415.13x = 327,220,752,032.02
  5. Step 5: Solve for x
    x = 327,220,752,032.02/261,415.13
  6. Step 6: Final answer
    x = 1,251,728.46

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