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Finding the Third Proportional to 632,904.75 and 845,454.38

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Solution

The third proportional to 632,904.75 and 845,454.38 is: 1,129,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,904.75 : 845,454.38 = 845,454.38 : x
  2. Step 2: Convert to fraction form
    632,904.75/845,454.38 = 845,454.38/x
  3. Step 3: Cross multiply
    632,904.75x = 845,454.38 × 845,454.38
  4. Step 4: Simplify right side
    632,904.75x = 714,793,100,206.64
  5. Step 5: Solve for x
    x = 714,793,100,206.64/632,904.75
  6. Step 6: Final answer
    x = 1,129,384.95

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.