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Finding the Third Proportional to 232,568 and 506,671

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Solution

The third proportional to 232,568 and 506,671 is: 1,103,829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,568 : 506,671 = 506,671 : x
  2. Step 2: Convert to fraction form
    232,568/506,671 = 506,671/x
  3. Step 3: Cross multiply
    232,568x = 506,671 × 506,671
  4. Step 4: Simplify right side
    232,568x = 256,715,502,241
  5. Step 5: Solve for x
    x = 256,715,502,241/232,568
  6. Step 6: Final answer
    x = 1,103,829.86

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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.