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Finding the Third Proportional to 619,298.25 and 872,084.25

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Solution

The third proportional to 619,298.25 and 872,084.25 is: 1,228,052.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,298.25 : 872,084.25 = 872,084.25 : x
  2. Step 2: Convert to fraction form
    619,298.25/872,084.25 = 872,084.25/x
  3. Step 3: Cross multiply
    619,298.25x = 872,084.25 × 872,084.25
  4. Step 4: Simplify right side
    619,298.25x = 760,530,939,098.06
  5. Step 5: Solve for x
    x = 760,530,939,098.06/619,298.25
  6. Step 6: Final answer
    x = 1,228,052.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.