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Finding the Third Proportional to 232,182 and 506,646

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Solution

The third proportional to 232,182 and 506,646 is: 1,105,555.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,182 : 506,646 = 506,646 : x
  2. Step 2: Convert to fraction form
    232,182/506,646 = 506,646/x
  3. Step 3: Cross multiply
    232,182x = 506,646 × 506,646
  4. Step 4: Simplify right side
    232,182x = 256,690,169,316
  5. Step 5: Solve for x
    x = 256,690,169,316/232,182
  6. Step 6: Final answer
    x = 1,105,555.85

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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.