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Finding the Third Proportional to 774,100.13 and 833,149.13

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Solution

The third proportional to 774,100.13 and 833,149.13 is: 896,702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,100.13 : 833,149.13 = 833,149.13 : x
  2. Step 2: Convert to fraction form
    774,100.13/833,149.13 = 833,149.13/x
  3. Step 3: Cross multiply
    774,100.13x = 833,149.13 × 833,149.13
  4. Step 4: Simplify right side
    774,100.13x = 694,137,464,488.27
  5. Step 5: Solve for x
    x = 694,137,464,488.27/774,100.13
  6. Step 6: Final answer
    x = 896,702.43

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.