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Finding the Third Proportional to 451,312.50 and 961,107

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Solution

The third proportional to 451,312.50 and 961,107 is: 2,046,756.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,312.50 : 961,107 = 961,107 : x
  2. Step 2: Convert to fraction form
    451,312.50/961,107 = 961,107/x
  3. Step 3: Cross multiply
    451,312.50x = 961,107 × 961,107
  4. Step 4: Simplify right side
    451,312.50x = 923,726,665,449
  5. Step 5: Solve for x
    x = 923,726,665,449/451,312.50
  6. Step 6: Final answer
    x = 2,046,756.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.