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Finding the Third Proportional to 226,360 and 497,920

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Solution

The third proportional to 226,360 and 497,920 is: 1,095,265.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,360 : 497,920 = 497,920 : x
  2. Step 2: Convert to fraction form
    226,360/497,920 = 497,920/x
  3. Step 3: Cross multiply
    226,360x = 497,920 × 497,920
  4. Step 4: Simplify right side
    226,360x = 247,924,326,400
  5. Step 5: Solve for x
    x = 247,924,326,400/226,360
  6. Step 6: Final answer
    x = 1,095,265.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.