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Finding the Third Proportional to 436,002.75 and 636,751.13

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Solution

The third proportional to 436,002.75 and 636,751.13 is: 929,929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,002.75 : 636,751.13 = 636,751.13 : x
  2. Step 2: Convert to fraction form
    436,002.75/636,751.13 = 636,751.13/x
  3. Step 3: Cross multiply
    436,002.75x = 636,751.13 × 636,751.13
  4. Step 4: Simplify right side
    436,002.75x = 405,451,995,188.77
  5. Step 5: Solve for x
    x = 405,451,995,188.77/436,002.75
  6. Step 6: Final answer
    x = 929,929.90

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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.