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Finding the Third Proportional to 458,601.75 and 757,957.50

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Solution

The third proportional to 458,601.75 and 757,957.50 is: 1,252,719.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,601.75 : 757,957.50 = 757,957.50 : x
  2. Step 2: Convert to fraction form
    458,601.75/757,957.50 = 757,957.50/x
  3. Step 3: Cross multiply
    458,601.75x = 757,957.50 × 757,957.50
  4. Step 4: Simplify right side
    458,601.75x = 574,499,571,806.25
  5. Step 5: Solve for x
    x = 574,499,571,806.25/458,601.75
  6. Step 6: Final answer
    x = 1,252,719.97

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.