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Finding the Third Proportional to 370,878 and 800,886

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Solution

The third proportional to 370,878 and 800,886 is: 1,729,459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,878 : 800,886 = 800,886 : x
  2. Step 2: Convert to fraction form
    370,878/800,886 = 800,886/x
  3. Step 3: Cross multiply
    370,878x = 800,886 × 800,886
  4. Step 4: Simplify right side
    370,878x = 641,418,384,996
  5. Step 5: Solve for x
    x = 641,418,384,996/370,878
  6. Step 6: Final answer
    x = 1,729,459.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.