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Finding the Third Proportional to 677,521.13 and 929,049.75

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Solution

The third proportional to 677,521.13 and 929,049.75 is: 1,273,957.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,521.13 : 929,049.75 = 929,049.75 : x
  2. Step 2: Convert to fraction form
    677,521.13/929,049.75 = 929,049.75/x
  3. Step 3: Cross multiply
    677,521.13x = 929,049.75 × 929,049.75
  4. Step 4: Simplify right side
    677,521.13x = 863,133,437,975.06
  5. Step 5: Solve for x
    x = 863,133,437,975.06/677,521.13
  6. Step 6: Final answer
    x = 1,273,957.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.