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Finding the Third Proportional to 361,885.50 and 532,014

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Solution

The third proportional to 361,885.50 and 532,014 is: 782,122.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,885.50 : 532,014 = 532,014 : x
  2. Step 2: Convert to fraction form
    361,885.50/532,014 = 532,014/x
  3. Step 3: Cross multiply
    361,885.50x = 532,014 × 532,014
  4. Step 4: Simplify right side
    361,885.50x = 283,038,896,196
  5. Step 5: Solve for x
    x = 283,038,896,196/361,885.50
  6. Step 6: Final answer
    x = 782,122.79

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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.