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Finding the Third Proportional to 610,719.75 and 876,394.69

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Solution

The third proportional to 610,719.75 and 876,394.69 is: 1,257,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,719.75 : 876,394.69 = 876,394.69 : x
  2. Step 2: Convert to fraction form
    610,719.75/876,394.69 = 876,394.69/x
  3. Step 3: Cross multiply
    610,719.75x = 876,394.69 × 876,394.69
  4. Step 4: Simplify right side
    610,719.75x = 768,067,648,278.22
  5. Step 5: Solve for x
    x = 768,067,648,278.22/610,719.75
  6. Step 6: Final answer
    x = 1,257,643.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.