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Finding the Third Proportional to 404,135 and 588,432

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Solution

The third proportional to 404,135 and 588,432 is: 856,773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,135 : 588,432 = 588,432 : x
  2. Step 2: Convert to fraction form
    404,135/588,432 = 588,432/x
  3. Step 3: Cross multiply
    404,135x = 588,432 × 588,432
  4. Step 4: Simplify right side
    404,135x = 346,252,218,624
  5. Step 5: Solve for x
    x = 346,252,218,624/404,135
  6. Step 6: Final answer
    x = 856,773.65

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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.