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Finding the Third Proportional to 318,098.81 and 673,012.13

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Solution

The third proportional to 318,098.81 and 673,012.13 is: 1,423,913.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,098.81 : 673,012.13 = 673,012.13 : x
  2. Step 2: Convert to fraction form
    318,098.81/673,012.13 = 673,012.13/x
  3. Step 3: Cross multiply
    318,098.81x = 673,012.13 × 673,012.13
  4. Step 4: Simplify right side
    318,098.81x = 452,945,320,397.02
  5. Step 5: Solve for x
    x = 452,945,320,397.02/318,098.81
  6. Step 6: Final answer
    x = 1,423,913.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.