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Finding the Third Proportional to 282,624 and 396,108

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Solution

The third proportional to 282,624 and 396,108 is: 555,160.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,624 : 396,108 = 396,108 : x
  2. Step 2: Convert to fraction form
    282,624/396,108 = 396,108/x
  3. Step 3: Cross multiply
    282,624x = 396,108 × 396,108
  4. Step 4: Simplify right side
    282,624x = 156,901,547,664
  5. Step 5: Solve for x
    x = 156,901,547,664/282,624
  6. Step 6: Final answer
    x = 555,160.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.