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Finding the Third Proportional to 385,634 and 593,112

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Solution

The third proportional to 385,634 and 593,112 is: 912,216.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,634 : 593,112 = 593,112 : x
  2. Step 2: Convert to fraction form
    385,634/593,112 = 593,112/x
  3. Step 3: Cross multiply
    385,634x = 593,112 × 593,112
  4. Step 4: Simplify right side
    385,634x = 351,781,844,544
  5. Step 5: Solve for x
    x = 351,781,844,544/385,634
  6. Step 6: Final answer
    x = 912,216.88

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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.