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Finding the Third Proportional to 385,646 and 593,134

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Solution

The third proportional to 385,646 and 593,134 is: 912,256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,646 : 593,134 = 593,134 : x
  2. Step 2: Convert to fraction form
    385,646/593,134 = 593,134/x
  3. Step 3: Cross multiply
    385,646x = 593,134 × 593,134
  4. Step 4: Simplify right side
    385,646x = 351,807,941,956
  5. Step 5: Solve for x
    x = 351,807,941,956/385,646
  6. Step 6: Final answer
    x = 912,256.17

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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.