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Finding the Third Proportional to 370,578 and 808,923

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Solution

The third proportional to 370,578 and 808,923 is: 1,765,772.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,578 : 808,923 = 808,923 : x
  2. Step 2: Convert to fraction form
    370,578/808,923 = 808,923/x
  3. Step 3: Cross multiply
    370,578x = 808,923 × 808,923
  4. Step 4: Simplify right side
    370,578x = 654,356,419,929
  5. Step 5: Solve for x
    x = 654,356,419,929/370,578
  6. Step 6: Final answer
    x = 1,765,772.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.