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Finding the Third Proportional to 292,284 and 396,088

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Solution

The third proportional to 292,284 and 396,088 is: 536,757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,284 : 396,088 = 396,088 : x
  2. Step 2: Convert to fraction form
    292,284/396,088 = 396,088/x
  3. Step 3: Cross multiply
    292,284x = 396,088 × 396,088
  4. Step 4: Simplify right side
    292,284x = 156,885,703,744
  5. Step 5: Solve for x
    x = 156,885,703,744/292,284
  6. Step 6: Final answer
    x = 536,757.76

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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.