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Finding the Third Proportional to 407,496 and 885,000.75

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Solution

The third proportional to 407,496 and 885,000.75 is: 1,922,046.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,496 : 885,000.75 = 885,000.75 : x
  2. Step 2: Convert to fraction form
    407,496/885,000.75 = 885,000.75/x
  3. Step 3: Cross multiply
    407,496x = 885,000.75 × 885,000.75
  4. Step 4: Simplify right side
    407,496x = 783,226,327,500.56
  5. Step 5: Solve for x
    x = 783,226,327,500.56/407,496
  6. Step 6: Final answer
    x = 1,922,046.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.