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Finding the Third Proportional to 632,809.97 and 980,110.13

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Solution

The third proportional to 632,809.97 and 980,110.13 is: 1,518,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,809.97 : 980,110.13 = 980,110.13 : x
  2. Step 2: Convert to fraction form
    632,809.97/980,110.13 = 980,110.13/x
  3. Step 3: Cross multiply
    632,809.97x = 980,110.13 × 980,110.13
  4. Step 4: Simplify right side
    632,809.97x = 960,615,857,127.52
  5. Step 5: Solve for x
    x = 960,615,857,127.52/632,809.97
  6. Step 6: Final answer
    x = 1,518,016.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.