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Finding the Third Proportional to 677,888 and 929,534.25

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Solution

The third proportional to 677,888 and 929,534.25 is: 1,274,596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,888 : 929,534.25 = 929,534.25 : x
  2. Step 2: Convert to fraction form
    677,888/929,534.25 = 929,534.25/x
  3. Step 3: Cross multiply
    677,888x = 929,534.25 × 929,534.25
  4. Step 4: Simplify right side
    677,888x = 864,033,921,923.06
  5. Step 5: Solve for x
    x = 864,033,921,923.06/677,888
  6. Step 6: Final answer
    x = 1,274,596.87

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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.