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Finding the Third Proportional to 619,290.28 and 872,073.28

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Solution

The third proportional to 619,290.28 and 872,073.28 is: 1,228,037.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,290.28 : 872,073.28 = 872,073.28 : x
  2. Step 2: Convert to fraction form
    619,290.28/872,073.28 = 872,073.28/x
  3. Step 3: Cross multiply
    619,290.28x = 872,073.28 × 872,073.28
  4. Step 4: Simplify right side
    619,290.28x = 760,511,807,870.14
  5. Step 5: Solve for x
    x = 760,511,807,870.14/619,290.28
  6. Step 6: Final answer
    x = 1,228,037.69

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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.