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Finding the Third Proportional to 285,810.38 and 420,163.31

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Solution

The third proportional to 285,810.38 and 420,163.31 is: 617,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,810.38 : 420,163.31 = 420,163.31 : x
  2. Step 2: Convert to fraction form
    285,810.38/420,163.31 = 420,163.31/x
  3. Step 3: Cross multiply
    285,810.38x = 420,163.31 × 420,163.31
  4. Step 4: Simplify right side
    285,810.38x = 176,537,209,170.97
  5. Step 5: Solve for x
    x = 176,537,209,170.97/285,810.38
  6. Step 6: Final answer
    x = 617,672.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.