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Finding the Third Proportional to 385,472 and 593,238

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Solution

The third proportional to 385,472 and 593,238 is: 912,988.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,472 : 593,238 = 593,238 : x
  2. Step 2: Convert to fraction form
    385,472/593,238 = 593,238/x
  3. Step 3: Cross multiply
    385,472x = 593,238 × 593,238
  4. Step 4: Simplify right side
    385,472x = 351,931,324,644
  5. Step 5: Solve for x
    x = 351,931,324,644/385,472
  6. Step 6: Final answer
    x = 912,988.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.