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Finding the Third Proportional to 464,550.75 and 717,948

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Solution

The third proportional to 464,550.75 and 717,948 is: 1,109,565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,550.75 : 717,948 = 717,948 : x
  2. Step 2: Convert to fraction form
    464,550.75/717,948 = 717,948/x
  3. Step 3: Cross multiply
    464,550.75x = 717,948 × 717,948
  4. Step 4: Simplify right side
    464,550.75x = 515,449,330,704
  5. Step 5: Solve for x
    x = 515,449,330,704/464,550.75
  6. Step 6: Final answer
    x = 1,109,565.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.