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Finding the Third Proportional to 564,035.25 and 925,908.75

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Solution

The third proportional to 564,035.25 and 925,908.75 is: 1,519,952.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,035.25 : 925,908.75 = 925,908.75 : x
  2. Step 2: Convert to fraction form
    564,035.25/925,908.75 = 925,908.75/x
  3. Step 3: Cross multiply
    564,035.25x = 925,908.75 × 925,908.75
  4. Step 4: Simplify right side
    564,035.25x = 857,307,013,326.56
  5. Step 5: Solve for x
    x = 857,307,013,326.56/564,035.25
  6. Step 6: Final answer
    x = 1,519,952.90

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.