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Finding the Third Proportional to 281,742 and 664,417.50

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Solution

The third proportional to 281,742 and 664,417.50 is: 1,566,861.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,742 : 664,417.50 = 664,417.50 : x
  2. Step 2: Convert to fraction form
    281,742/664,417.50 = 664,417.50/x
  3. Step 3: Cross multiply
    281,742x = 664,417.50 × 664,417.50
  4. Step 4: Simplify right side
    281,742x = 441,450,614,306.25
  5. Step 5: Solve for x
    x = 441,450,614,306.25/281,742
  6. Step 6: Final answer
    x = 1,566,861.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.