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Finding the Third Proportional to 261,929 and 565,587

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Solution

The third proportional to 261,929 and 565,587 is: 1,221,280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,929 : 565,587 = 565,587 : x
  2. Step 2: Convert to fraction form
    261,929/565,587 = 565,587/x
  3. Step 3: Cross multiply
    261,929x = 565,587 × 565,587
  4. Step 4: Simplify right side
    261,929x = 319,888,654,569
  5. Step 5: Solve for x
    x = 319,888,654,569/261,929
  6. Step 6: Final answer
    x = 1,221,280.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.