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Finding the Third Proportional to 521,712 and 698,812

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Solution

The third proportional to 521,712 and 698,812 is: 936,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,712 : 698,812 = 698,812 : x
  2. Step 2: Convert to fraction form
    521,712/698,812 = 698,812/x
  3. Step 3: Cross multiply
    521,712x = 698,812 × 698,812
  4. Step 4: Simplify right side
    521,712x = 488,338,211,344
  5. Step 5: Solve for x
    x = 488,338,211,344/521,712
  6. Step 6: Final answer
    x = 936,030.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.