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Finding the Third Proportional to 284,432 and 658,480

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Solution

The third proportional to 284,432 and 658,480 is: 1,524,427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,432 : 658,480 = 658,480 : x
  2. Step 2: Convert to fraction form
    284,432/658,480 = 658,480/x
  3. Step 3: Cross multiply
    284,432x = 658,480 × 658,480
  4. Step 4: Simplify right side
    284,432x = 433,595,910,400
  5. Step 5: Solve for x
    x = 433,595,910,400/284,432
  6. Step 6: Final answer
    x = 1,524,427.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.