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Finding the Third Proportional to 577,891.97 and 920,351.11

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Solution

The third proportional to 577,891.97 and 920,351.11 is: 1,465,751.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,891.97 : 920,351.11 = 920,351.11 : x
  2. Step 2: Convert to fraction form
    577,891.97/920,351.11 = 920,351.11/x
  3. Step 3: Cross multiply
    577,891.97x = 920,351.11 × 920,351.11
  4. Step 4: Simplify right side
    577,891.97x = 847,046,164,527.79
  5. Step 5: Solve for x
    x = 847,046,164,527.79/577,891.97
  6. Step 6: Final answer
    x = 1,465,751.75

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