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Finding the Third Proportional to 510,472.13 and 673,813.69

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Solution

The third proportional to 510,472.13 and 673,813.69 is: 889,421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,472.13 : 673,813.69 = 673,813.69 : x
  2. Step 2: Convert to fraction form
    510,472.13/673,813.69 = 673,813.69/x
  3. Step 3: Cross multiply
    510,472.13x = 673,813.69 × 673,813.69
  4. Step 4: Simplify right side
    510,472.13x = 454,024,885,462.35
  5. Step 5: Solve for x
    x = 454,024,885,462.35/510,472.13
  6. Step 6: Final answer
    x = 889,421.50

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.