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Finding the Third Proportional to 338,822 and 524,637

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Solution

The third proportional to 338,822 and 524,637 is: 812,355.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,822 : 524,637 = 524,637 : x
  2. Step 2: Convert to fraction form
    338,822/524,637 = 524,637/x
  3. Step 3: Cross multiply
    338,822x = 524,637 × 524,637
  4. Step 4: Simplify right side
    338,822x = 275,243,981,769
  5. Step 5: Solve for x
    x = 275,243,981,769/338,822
  6. Step 6: Final answer
    x = 812,355.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.