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Finding the Third Proportional to 226,298 and 497,776

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Solution

The third proportional to 226,298 and 497,776 is: 1,094,932.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,298 : 497,776 = 497,776 : x
  2. Step 2: Convert to fraction form
    226,298/497,776 = 497,776/x
  3. Step 3: Cross multiply
    226,298x = 497,776 × 497,776
  4. Step 4: Simplify right side
    226,298x = 247,780,946,176
  5. Step 5: Solve for x
    x = 247,780,946,176/226,298
  6. Step 6: Final answer
    x = 1,094,932.11

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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.