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Finding the Third Proportional to 428,614.50 and 587,748

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Solution

The third proportional to 428,614.50 and 587,748 is: 805,963.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,614.50 : 587,748 = 587,748 : x
  2. Step 2: Convert to fraction form
    428,614.50/587,748 = 587,748/x
  3. Step 3: Cross multiply
    428,614.50x = 587,748 × 587,748
  4. Step 4: Simplify right side
    428,614.50x = 345,447,711,504
  5. Step 5: Solve for x
    x = 345,447,711,504/428,614.50
  6. Step 6: Final answer
    x = 805,963.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.