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Finding the Third Proportional to 385,872 and 593,388

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Solution

The third proportional to 385,872 and 593,388 is: 912,502.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,872 : 593,388 = 593,388 : x
  2. Step 2: Convert to fraction form
    385,872/593,388 = 593,388/x
  3. Step 3: Cross multiply
    385,872x = 593,388 × 593,388
  4. Step 4: Simplify right side
    385,872x = 352,109,318,544
  5. Step 5: Solve for x
    x = 352,109,318,544/385,872
  6. Step 6: Final answer
    x = 912,502.90

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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.