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Finding the Third Proportional to 226,726 and 497,718

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Solution

The third proportional to 226,726 and 497,718 is: 1,092,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,726 : 497,718 = 497,718 : x
  2. Step 2: Convert to fraction form
    226,726/497,718 = 497,718/x
  3. Step 3: Cross multiply
    226,726x = 497,718 × 497,718
  4. Step 4: Simplify right side
    226,726x = 247,723,207,524
  5. Step 5: Solve for x
    x = 247,723,207,524/226,726
  6. Step 6: Final answer
    x = 1,092,610.50

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