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Finding the Third Proportional to 498,048.13 and 747,582.19

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Solution

The third proportional to 498,048.13 and 747,582.19 is: 1,122,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,048.13 : 747,582.19 = 747,582.19 : x
  2. Step 2: Convert to fraction form
    498,048.13/747,582.19 = 747,582.19/x
  3. Step 3: Cross multiply
    498,048.13x = 747,582.19 × 747,582.19
  4. Step 4: Simplify right side
    498,048.13x = 558,879,127,067.29
  5. Step 5: Solve for x
    x = 558,879,127,067.29/498,048.13
  6. Step 6: Final answer
    x = 1,122,138.80

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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.