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Finding the Third Proportional to 424,567.50 and 681,754.50

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Solution

The third proportional to 424,567.50 and 681,754.50 is: 1,094,735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,567.50 : 681,754.50 = 681,754.50 : x
  2. Step 2: Convert to fraction form
    424,567.50/681,754.50 = 681,754.50/x
  3. Step 3: Cross multiply
    424,567.50x = 681,754.50 × 681,754.50
  4. Step 4: Simplify right side
    424,567.50x = 464,789,198,270.25
  5. Step 5: Solve for x
    x = 464,789,198,270.25/424,567.50
  6. Step 6: Final answer
    x = 1,094,735.70

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.