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Finding the Third Proportional to 390,527 and 791,917

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Solution

The third proportional to 390,527 and 791,917 is: 1,605,862.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,527 : 791,917 = 791,917 : x
  2. Step 2: Convert to fraction form
    390,527/791,917 = 791,917/x
  3. Step 3: Cross multiply
    390,527x = 791,917 × 791,917
  4. Step 4: Simplify right side
    390,527x = 627,132,534,889
  5. Step 5: Solve for x
    x = 627,132,534,889/390,527
  6. Step 6: Final answer
    x = 1,605,862.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.