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Finding the Third Proportional to 390,528 and 791,919

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Solution

The third proportional to 390,528 and 791,919 is: 1,605,866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,528 : 791,919 = 791,919 : x
  2. Step 2: Convert to fraction form
    390,528/791,919 = 791,919/x
  3. Step 3: Cross multiply
    390,528x = 791,919 × 791,919
  4. Step 4: Simplify right side
    390,528x = 627,135,702,561
  5. Step 5: Solve for x
    x = 627,135,702,561/390,528
  6. Step 6: Final answer
    x = 1,605,866.17

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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.