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Finding the Third Proportional to 739,132 and 816,892

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Solution

The third proportional to 739,132 and 816,892 is: 902,832.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,132 : 816,892 = 816,892 : x
  2. Step 2: Convert to fraction form
    739,132/816,892 = 816,892/x
  3. Step 3: Cross multiply
    739,132x = 816,892 × 816,892
  4. Step 4: Simplify right side
    739,132x = 667,312,539,664
  5. Step 5: Solve for x
    x = 667,312,539,664/739,132
  6. Step 6: Final answer
    x = 902,832.70

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.