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Finding the Third Proportional to 261,432 and 572,704

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Solution

The third proportional to 261,432 and 572,704 is: 1,254,589.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,432 : 572,704 = 572,704 : x
  2. Step 2: Convert to fraction form
    261,432/572,704 = 572,704/x
  3. Step 3: Cross multiply
    261,432x = 572,704 × 572,704
  4. Step 4: Simplify right side
    261,432x = 327,989,871,616
  5. Step 5: Solve for x
    x = 327,989,871,616/261,432
  6. Step 6: Final answer
    x = 1,254,589.61

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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.