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Finding the Third Proportional to 334,028 and 700,878

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Solution

The third proportional to 334,028 and 700,878 is: 1,470,625.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,028 : 700,878 = 700,878 : x
  2. Step 2: Convert to fraction form
    334,028/700,878 = 700,878/x
  3. Step 3: Cross multiply
    334,028x = 700,878 × 700,878
  4. Step 4: Simplify right side
    334,028x = 491,229,970,884
  5. Step 5: Solve for x
    x = 491,229,970,884/334,028
  6. Step 6: Final answer
    x = 1,470,625.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.