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Finding the Third Proportional to 404,155.13 and 588,463.13

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Solution

The third proportional to 404,155.13 and 588,463.13 is: 856,821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,155.13 : 588,463.13 = 588,463.13 : x
  2. Step 2: Convert to fraction form
    404,155.13/588,463.13 = 588,463.13/x
  3. Step 3: Cross multiply
    404,155.13x = 588,463.13 × 588,463.13
  4. Step 4: Simplify right side
    404,155.13x = 346,288,849,484.77
  5. Step 5: Solve for x
    x = 346,288,849,484.77/404,155.13
  6. Step 6: Final answer
    x = 856,821.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.