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Finding the Third Proportional to 232,017 and 491,491.50

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Solution

The third proportional to 232,017 and 491,491.50 is: 1,041,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,017 : 491,491.50 = 491,491.50 : x
  2. Step 2: Convert to fraction form
    232,017/491,491.50 = 491,491.50/x
  3. Step 3: Cross multiply
    232,017x = 491,491.50 × 491,491.50
  4. Step 4: Simplify right side
    232,017x = 241,563,894,572.25
  5. Step 5: Solve for x
    x = 241,563,894,572.25/232,017
  6. Step 6: Final answer
    x = 1,041,147.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.