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Finding the Third Proportional to 532,942.03 and 819,175.78

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Solution

The third proportional to 532,942.03 and 819,175.78 is: 1,259,140.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,942.03 : 819,175.78 = 819,175.78 : x
  2. Step 2: Convert to fraction form
    532,942.03/819,175.78 = 819,175.78/x
  3. Step 3: Cross multiply
    532,942.03x = 819,175.78 × 819,175.78
  4. Step 4: Simplify right side
    532,942.03x = 671,048,960,586.55
  5. Step 5: Solve for x
    x = 671,048,960,586.55/532,942.03
  6. Step 6: Final answer
    x = 1,259,140.62

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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.