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Finding the Third Proportional to 383,545.13 and 575,317.69

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Solution

The third proportional to 383,545.13 and 575,317.69 is: 862,976.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,545.13 : 575,317.69 = 575,317.69 : x
  2. Step 2: Convert to fraction form
    383,545.13/575,317.69 = 575,317.69/x
  3. Step 3: Cross multiply
    383,545.13x = 575,317.69 × 575,317.69
  4. Step 4: Simplify right side
    383,545.13x = 330,990,441,550.35
  5. Step 5: Solve for x
    x = 330,990,441,550.35/383,545.13
  6. Step 6: Final answer
    x = 862,976.53

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Why These Related Problems?

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