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Finding the Third Proportional to 393,633 and 595,107

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Solution

The third proportional to 393,633 and 595,107 is: 899,701.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,633 : 595,107 = 595,107 : x
  2. Step 2: Convert to fraction form
    393,633/595,107 = 595,107/x
  3. Step 3: Cross multiply
    393,633x = 595,107 × 595,107
  4. Step 4: Simplify right side
    393,633x = 354,152,341,449
  5. Step 5: Solve for x
    x = 354,152,341,449/393,633
  6. Step 6: Final answer
    x = 899,701.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.