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Finding the Third Proportional to 527,694.75 and 817,607.25

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Solution

The third proportional to 527,694.75 and 817,607.25 is: 1,266,796.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,694.75 : 817,607.25 = 817,607.25 : x
  2. Step 2: Convert to fraction form
    527,694.75/817,607.25 = 817,607.25/x
  3. Step 3: Cross multiply
    527,694.75x = 817,607.25 × 817,607.25
  4. Step 4: Simplify right side
    527,694.75x = 668,481,615,252.56
  5. Step 5: Solve for x
    x = 668,481,615,252.56/527,694.75
  6. Step 6: Final answer
    x = 1,266,796.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.