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Finding the Third Proportional to 384,099 and 593,472

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Solution

The third proportional to 384,099 and 593,472 is: 916,974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,099 : 593,472 = 593,472 : x
  2. Step 2: Convert to fraction form
    384,099/593,472 = 593,472/x
  3. Step 3: Cross multiply
    384,099x = 593,472 × 593,472
  4. Step 4: Simplify right side
    384,099x = 352,209,014,784
  5. Step 5: Solve for x
    x = 352,209,014,784/384,099
  6. Step 6: Final answer
    x = 916,974.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.