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Finding the Third Proportional to 532,930.22 and 819,163.13

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Solution

The third proportional to 532,930.22 and 819,163.13 is: 1,259,129.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,930.22 : 819,163.13 = 819,163.13 : x
  2. Step 2: Convert to fraction form
    532,930.22/819,163.13 = 819,163.13/x
  3. Step 3: Cross multiply
    532,930.22x = 819,163.13 × 819,163.13
  4. Step 4: Simplify right side
    532,930.22x = 671,028,225,359.77
  5. Step 5: Solve for x
    x = 671,028,225,359.77/532,930.22
  6. Step 6: Final answer
    x = 1,259,129.62

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.