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Finding the Third Proportional to 390,484 and 791,834

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Solution

The third proportional to 390,484 and 791,834 is: 1,605,702.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,484 : 791,834 = 791,834 : x
  2. Step 2: Convert to fraction form
    390,484/791,834 = 791,834/x
  3. Step 3: Cross multiply
    390,484x = 791,834 × 791,834
  4. Step 4: Simplify right side
    390,484x = 627,001,083,556
  5. Step 5: Solve for x
    x = 627,001,083,556/390,484
  6. Step 6: Final answer
    x = 1,605,702.37

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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.