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Finding the Third Proportional to 261,952 and 572,942

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Solution

The third proportional to 261,952 and 572,942 is: 1,253,140.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,952 : 572,942 = 572,942 : x
  2. Step 2: Convert to fraction form
    261,952/572,942 = 572,942/x
  3. Step 3: Cross multiply
    261,952x = 572,942 × 572,942
  4. Step 4: Simplify right side
    261,952x = 328,262,535,364
  5. Step 5: Solve for x
    x = 328,262,535,364/261,952
  6. Step 6: Final answer
    x = 1,253,140.02

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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.