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Finding the Third Proportional to 385,328 and 587,082

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Solution

The third proportional to 385,328 and 587,082 is: 894,472.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,328 : 587,082 = 587,082 : x
  2. Step 2: Convert to fraction form
    385,328/587,082 = 587,082/x
  3. Step 3: Cross multiply
    385,328x = 587,082 × 587,082
  4. Step 4: Simplify right side
    385,328x = 344,665,274,724
  5. Step 5: Solve for x
    x = 344,665,274,724/385,328
  6. Step 6: Final answer
    x = 894,472.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.