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Finding the Third Proportional to 226,087 and 497,715

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Solution

The third proportional to 226,087 and 497,715 is: 1,095,685.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,087 : 497,715 = 497,715 : x
  2. Step 2: Convert to fraction form
    226,087/497,715 = 497,715/x
  3. Step 3: Cross multiply
    226,087x = 497,715 × 497,715
  4. Step 4: Simplify right side
    226,087x = 247,720,221,225
  5. Step 5: Solve for x
    x = 247,720,221,225/226,087
  6. Step 6: Final answer
    x = 1,095,685.38

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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.