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Finding the Third Proportional to 431,416.13 and 676,800.56

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Solution

The third proportional to 431,416.13 and 676,800.56 is: 1,061,756.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,416.13 : 676,800.56 = 676,800.56 : x
  2. Step 2: Convert to fraction form
    431,416.13/676,800.56 = 676,800.56/x
  3. Step 3: Cross multiply
    431,416.13x = 676,800.56 × 676,800.56
  4. Step 4: Simplify right side
    431,416.13x = 458,059,001,400.32
  5. Step 5: Solve for x
    x = 458,059,001,400.32/431,416.13
  6. Step 6: Final answer
    x = 1,061,756.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.