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Finding the Third Proportional to 292,280 and 396,082

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Solution

The third proportional to 292,280 and 396,082 is: 536,748.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,280 : 396,082 = 396,082 : x
  2. Step 2: Convert to fraction form
    292,280/396,082 = 396,082/x
  3. Step 3: Cross multiply
    292,280x = 396,082 × 396,082
  4. Step 4: Simplify right side
    292,280x = 156,880,950,724
  5. Step 5: Solve for x
    x = 156,880,950,724/292,280
  6. Step 6: Final answer
    x = 536,748.84

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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.