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Finding the Third Proportional to 390,529 and 791,921

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Solution

The third proportional to 390,529 and 791,921 is: 1,605,870.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,529 : 791,921 = 791,921 : x
  2. Step 2: Convert to fraction form
    390,529/791,921 = 791,921/x
  3. Step 3: Cross multiply
    390,529x = 791,921 × 791,921
  4. Step 4: Simplify right side
    390,529x = 627,138,870,241
  5. Step 5: Solve for x
    x = 627,138,870,241/390,529
  6. Step 6: Final answer
    x = 1,605,870.17

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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.