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Finding the Third Proportional to 640,719 and 928,028.25

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Solution

The third proportional to 640,719 and 928,028.25 is: 1,344,171.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,719 : 928,028.25 = 928,028.25 : x
  2. Step 2: Convert to fraction form
    640,719/928,028.25 = 928,028.25/x
  3. Step 3: Cross multiply
    640,719x = 928,028.25 × 928,028.25
  4. Step 4: Simplify right side
    640,719x = 861,236,432,798.06
  5. Step 5: Solve for x
    x = 861,236,432,798.06/640,719
  6. Step 6: Final answer
    x = 1,344,171.83

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.