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Finding the Third Proportional to 261,630 and 567,729

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Solution

The third proportional to 261,630 and 567,729 is: 1,231,954.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,630 : 567,729 = 567,729 : x
  2. Step 2: Convert to fraction form
    261,630/567,729 = 567,729/x
  3. Step 3: Cross multiply
    261,630x = 567,729 × 567,729
  4. Step 4: Simplify right side
    261,630x = 322,316,217,441
  5. Step 5: Solve for x
    x = 322,316,217,441/261,630
  6. Step 6: Final answer
    x = 1,231,954.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.