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Finding the Third Proportional to 292,432 and 396,264

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Solution

The third proportional to 292,432 and 396,264 is: 536,962.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,432 : 396,264 = 396,264 : x
  2. Step 2: Convert to fraction form
    292,432/396,264 = 396,264/x
  3. Step 3: Cross multiply
    292,432x = 396,264 × 396,264
  4. Step 4: Simplify right side
    292,432x = 157,025,157,696
  5. Step 5: Solve for x
    x = 157,025,157,696/292,432
  6. Step 6: Final answer
    x = 536,962.98

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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.