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Finding the Third Proportional to 362,425.88 and 754,294.50

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Solution

The third proportional to 362,425.88 and 754,294.50 is: 1,569,866.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,425.88 : 754,294.50 = 754,294.50 : x
  2. Step 2: Convert to fraction form
    362,425.88/754,294.50 = 754,294.50/x
  3. Step 3: Cross multiply
    362,425.88x = 754,294.50 × 754,294.50
  4. Step 4: Simplify right side
    362,425.88x = 568,960,192,730.25
  5. Step 5: Solve for x
    x = 568,960,192,730.25/362,425.88
  6. Step 6: Final answer
    x = 1,569,866.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.