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Finding the Third Proportional to 649,660.50 and 944,966.25

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Solution

The third proportional to 649,660.50 and 944,966.25 is: 1,374,504.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,660.50 : 944,966.25 = 944,966.25 : x
  2. Step 2: Convert to fraction form
    649,660.50/944,966.25 = 944,966.25/x
  3. Step 3: Cross multiply
    649,660.50x = 944,966.25 × 944,966.25
  4. Step 4: Simplify right side
    649,660.50x = 892,961,213,639.06
  5. Step 5: Solve for x
    x = 892,961,213,639.06/649,660.50
  6. Step 6: Final answer
    x = 1,374,504.40

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.