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Finding the Third Proportional to 441,063.98 and 648,677.11

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Solution

The third proportional to 441,063.98 and 648,677.11 is: 954,015.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,063.98 : 648,677.11 = 648,677.11 : x
  2. Step 2: Convert to fraction form
    441,063.98/648,677.11 = 648,677.11/x
  3. Step 3: Cross multiply
    441,063.98x = 648,677.11 × 648,677.11
  4. Step 4: Simplify right side
    441,063.98x = 420,781,992,227.11
  5. Step 5: Solve for x
    x = 420,781,992,227.11/441,063.98
  6. Step 6: Final answer
    x = 954,015.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.