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Finding the Third Proportional to 472,091 and 748,682

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Solution

The third proportional to 472,091 and 748,682 is: 1,187,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,091 : 748,682 = 748,682 : x
  2. Step 2: Convert to fraction form
    472,091/748,682 = 748,682/x
  3. Step 3: Cross multiply
    472,091x = 748,682 × 748,682
  4. Step 4: Simplify right side
    472,091x = 560,524,737,124
  5. Step 5: Solve for x
    x = 560,524,737,124/472,091
  6. Step 6: Final answer
    x = 1,187,323.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.