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Finding the Third Proportional to 324,465.75 and 698,851.13

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Solution

The third proportional to 324,465.75 and 698,851.13 is: 1,505,221.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,465.75 : 698,851.13 = 698,851.13 : x
  2. Step 2: Convert to fraction form
    324,465.75/698,851.13 = 698,851.13/x
  3. Step 3: Cross multiply
    324,465.75x = 698,851.13 × 698,851.13
  4. Step 4: Simplify right side
    324,465.75x = 488,392,894,913.77
  5. Step 5: Solve for x
    x = 488,392,894,913.77/324,465.75
  6. Step 6: Final answer
    x = 1,505,221.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.