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Finding the Third Proportional to 491,128.50 and 738,520.50

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Solution

The third proportional to 491,128.50 and 738,520.50 is: 1,110,529.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,128.50 : 738,520.50 = 738,520.50 : x
  2. Step 2: Convert to fraction form
    491,128.50/738,520.50 = 738,520.50/x
  3. Step 3: Cross multiply
    491,128.50x = 738,520.50 × 738,520.50
  4. Step 4: Simplify right side
    491,128.50x = 545,412,528,920.25
  5. Step 5: Solve for x
    x = 545,412,528,920.25/491,128.50
  6. Step 6: Final answer
    x = 1,110,529.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.