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Finding the Third Proportional to 313,404 and 470,802

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Solution

The third proportional to 313,404 and 470,802 is: 707,248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,404 : 470,802 = 470,802 : x
  2. Step 2: Convert to fraction form
    313,404/470,802 = 470,802/x
  3. Step 3: Cross multiply
    313,404x = 470,802 × 470,802
  4. Step 4: Simplify right side
    313,404x = 221,654,523,204
  5. Step 5: Solve for x
    x = 221,654,523,204/313,404
  6. Step 6: Final answer
    x = 707,248.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.