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Finding the Third Proportional to 385,876 and 593,394

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Solution

The third proportional to 385,876 and 593,394 is: 912,511.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,876 : 593,394 = 593,394 : x
  2. Step 2: Convert to fraction form
    385,876/593,394 = 593,394/x
  3. Step 3: Cross multiply
    385,876x = 593,394 × 593,394
  4. Step 4: Simplify right side
    385,876x = 352,116,439,236
  5. Step 5: Solve for x
    x = 352,116,439,236/385,876
  6. Step 6: Final answer
    x = 912,511.89

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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.