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Finding the Third Proportional to 385,330 and 587,085

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Solution

The third proportional to 385,330 and 587,085 is: 894,476.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,330 : 587,085 = 587,085 : x
  2. Step 2: Convert to fraction form
    385,330/587,085 = 587,085/x
  3. Step 3: Cross multiply
    385,330x = 587,085 × 587,085
  4. Step 4: Simplify right side
    385,330x = 344,668,797,225
  5. Step 5: Solve for x
    x = 344,668,797,225/385,330
  6. Step 6: Final answer
    x = 894,476.93

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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.