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Finding the Third Proportional to 230,026 and 500,552

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Solution

The third proportional to 230,026 and 500,552 is: 1,089,234.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,026 : 500,552 = 500,552 : x
  2. Step 2: Convert to fraction form
    230,026/500,552 = 500,552/x
  3. Step 3: Cross multiply
    230,026x = 500,552 × 500,552
  4. Step 4: Simplify right side
    230,026x = 250,552,304,704
  5. Step 5: Solve for x
    x = 250,552,304,704/230,026
  6. Step 6: Final answer
    x = 1,089,234.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.