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Finding the Third Proportional to 282,895 and 384,424

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Solution

The third proportional to 282,895 and 384,424 is: 522,391.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,895 : 384,424 = 384,424 : x
  2. Step 2: Convert to fraction form
    282,895/384,424 = 384,424/x
  3. Step 3: Cross multiply
    282,895x = 384,424 × 384,424
  4. Step 4: Simplify right side
    282,895x = 147,781,811,776
  5. Step 5: Solve for x
    x = 147,781,811,776/282,895
  6. Step 6: Final answer
    x = 522,391.03

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.