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Finding the Third Proportional to 385,850 and 597,387

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Solution

The third proportional to 385,850 and 597,387 is: 924,896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,850 : 597,387 = 597,387 : x
  2. Step 2: Convert to fraction form
    385,850/597,387 = 597,387/x
  3. Step 3: Cross multiply
    385,850x = 597,387 × 597,387
  4. Step 4: Simplify right side
    385,850x = 356,871,227,769
  5. Step 5: Solve for x
    x = 356,871,227,769/385,850
  6. Step 6: Final answer
    x = 924,896.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.