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Finding the Third Proportional to 456,672.94 and 813,700.69

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Solution

The third proportional to 456,672.94 and 813,700.69 is: 1,449,853.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,672.94 : 813,700.69 = 813,700.69 : x
  2. Step 2: Convert to fraction form
    456,672.94/813,700.69 = 813,700.69/x
  3. Step 3: Cross multiply
    456,672.94x = 813,700.69 × 813,700.69
  4. Step 4: Simplify right side
    456,672.94x = 662,108,808,837.97
  5. Step 5: Solve for x
    x = 662,108,808,837.97/456,672.94
  6. Step 6: Final answer
    x = 1,449,853.39

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.