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Finding the Third Proportional to 499,861.76 and 731,998.90

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Solution

The third proportional to 499,861.76 and 731,998.90 is: 1,071,941.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,861.76 : 731,998.90 = 731,998.90 : x
  2. Step 2: Convert to fraction form
    499,861.76/731,998.90 = 731,998.90/x
  3. Step 3: Cross multiply
    499,861.76x = 731,998.90 × 731,998.90
  4. Step 4: Simplify right side
    499,861.76x = 535,822,387,313.71
  5. Step 5: Solve for x
    x = 535,822,387,313.71/499,861.76
  6. Step 6: Final answer
    x = 1,071,941.15

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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.