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Finding the Third Proportional to 226,705 and 496,501

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Solution

The third proportional to 226,705 and 496,501 is: 1,087,374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,705 : 496,501 = 496,501 : x
  2. Step 2: Convert to fraction form
    226,705/496,501 = 496,501/x
  3. Step 3: Cross multiply
    226,705x = 496,501 × 496,501
  4. Step 4: Simplify right side
    226,705x = 246,513,243,001
  5. Step 5: Solve for x
    x = 246,513,243,001/226,705
  6. Step 6: Final answer
    x = 1,087,374.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.