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Finding the Third Proportional to 230,698 and 500,564

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Solution

The third proportional to 230,698 and 500,564 is: 1,086,113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,698 : 500,564 = 500,564 : x
  2. Step 2: Convert to fraction form
    230,698/500,564 = 500,564/x
  3. Step 3: Cross multiply
    230,698x = 500,564 × 500,564
  4. Step 4: Simplify right side
    230,698x = 250,564,318,096
  5. Step 5: Solve for x
    x = 250,564,318,096/230,698
  6. Step 6: Final answer
    x = 1,086,113.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.