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Finding the Third Proportional to 261,315 and 572,427

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Solution

The third proportional to 261,315 and 572,427 is: 1,253,937.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,315 : 572,427 = 572,427 : x
  2. Step 2: Convert to fraction form
    261,315/572,427 = 572,427/x
  3. Step 3: Cross multiply
    261,315x = 572,427 × 572,427
  4. Step 4: Simplify right side
    261,315x = 327,672,670,329
  5. Step 5: Solve for x
    x = 327,672,670,329/261,315
  6. Step 6: Final answer
    x = 1,253,937.47

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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.