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Finding the Third Proportional to 226,332 and 497,860

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Solution

The third proportional to 226,332 and 497,860 is: 1,095,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,332 : 497,860 = 497,860 : x
  2. Step 2: Convert to fraction form
    226,332/497,860 = 497,860/x
  3. Step 3: Cross multiply
    226,332x = 497,860 × 497,860
  4. Step 4: Simplify right side
    226,332x = 247,864,579,600
  5. Step 5: Solve for x
    x = 247,864,579,600/226,332
  6. Step 6: Final answer
    x = 1,095,137.14

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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.