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Finding the Third Proportional to 378,127 and 585,782

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Solution

The third proportional to 378,127 and 585,782 is: 907,474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,127 : 585,782 = 585,782 : x
  2. Step 2: Convert to fraction form
    378,127/585,782 = 585,782/x
  3. Step 3: Cross multiply
    378,127x = 585,782 × 585,782
  4. Step 4: Simplify right side
    378,127x = 343,140,551,524
  5. Step 5: Solve for x
    x = 343,140,551,524/378,127
  6. Step 6: Final answer
    x = 907,474.34

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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.