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Finding the Third Proportional to 577,910.25 and 766,825.88

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Solution

The third proportional to 577,910.25 and 766,825.88 is: 1,017,496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,910.25 : 766,825.88 = 766,825.88 : x
  2. Step 2: Convert to fraction form
    577,910.25/766,825.88 = 766,825.88/x
  3. Step 3: Cross multiply
    577,910.25x = 766,825.88 × 766,825.88
  4. Step 4: Simplify right side
    577,910.25x = 588,021,922,569.52
  5. Step 5: Solve for x
    x = 588,021,922,569.52/577,910.25
  6. Step 6: Final answer
    x = 1,017,496.96

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.