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Finding the Third Proportional to 406,840 and 591,792

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Solution

The third proportional to 406,840 and 591,792 is: 860,824.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,840 : 591,792 = 591,792 : x
  2. Step 2: Convert to fraction form
    406,840/591,792 = 591,792/x
  3. Step 3: Cross multiply
    406,840x = 591,792 × 591,792
  4. Step 4: Simplify right side
    406,840x = 350,217,771,264
  5. Step 5: Solve for x
    x = 350,217,771,264/406,840
  6. Step 6: Final answer
    x = 860,824.33

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.