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Finding the Third Proportional to 226,518 and 472,293.75

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Solution

The third proportional to 226,518 and 472,293.75 is: 984,740.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,518 : 472,293.75 = 472,293.75 : x
  2. Step 2: Convert to fraction form
    226,518/472,293.75 = 472,293.75/x
  3. Step 3: Cross multiply
    226,518x = 472,293.75 × 472,293.75
  4. Step 4: Simplify right side
    226,518x = 223,061,386,289.06
  5. Step 5: Solve for x
    x = 223,061,386,289.06/226,518
  6. Step 6: Final answer
    x = 984,740.23

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.