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Finding the Third Proportional to 240,769 and 569,397

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Solution

The third proportional to 240,769 and 569,397 is: 1,346,572.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,769 : 569,397 = 569,397 : x
  2. Step 2: Convert to fraction form
    240,769/569,397 = 569,397/x
  3. Step 3: Cross multiply
    240,769x = 569,397 × 569,397
  4. Step 4: Simplify right side
    240,769x = 324,212,943,609
  5. Step 5: Solve for x
    x = 324,212,943,609/240,769
  6. Step 6: Final answer
    x = 1,346,572.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.