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Finding the Third Proportional to 486,994.50 and 748,960.88

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Solution

The third proportional to 486,994.50 and 748,960.88 is: 1,151,845.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,994.50 : 748,960.88 = 748,960.88 : x
  2. Step 2: Convert to fraction form
    486,994.50/748,960.88 = 748,960.88/x
  3. Step 3: Cross multiply
    486,994.50x = 748,960.88 × 748,960.88
  4. Step 4: Simplify right side
    486,994.50x = 560,942,392,280.77
  5. Step 5: Solve for x
    x = 560,942,392,280.77/486,994.50
  6. Step 6: Final answer
    x = 1,151,845.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.