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Finding the Third Proportional to 412,926.75 and 581,502.38

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Solution

The third proportional to 412,926.75 and 581,502.38 is: 818,898.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,926.75 : 581,502.38 = 581,502.38 : x
  2. Step 2: Convert to fraction form
    412,926.75/581,502.38 = 581,502.38/x
  3. Step 3: Cross multiply
    412,926.75x = 581,502.38 × 581,502.38
  4. Step 4: Simplify right side
    412,926.75x = 338,145,012,130.64
  5. Step 5: Solve for x
    x = 338,145,012,130.64/412,926.75
  6. Step 6: Final answer
    x = 818,898.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.