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Finding the Third Proportional to 706,155.75 and 906,689.25

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Solution

The third proportional to 706,155.75 and 906,689.25 is: 1,164,170.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,155.75 : 906,689.25 = 906,689.25 : x
  2. Step 2: Convert to fraction form
    706,155.75/906,689.25 = 906,689.25/x
  3. Step 3: Cross multiply
    706,155.75x = 906,689.25 × 906,689.25
  4. Step 4: Simplify right side
    706,155.75x = 822,085,396,065.56
  5. Step 5: Solve for x
    x = 822,085,396,065.56/706,155.75
  6. Step 6: Final answer
    x = 1,164,170.08

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.