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Finding the Third Proportional to 288,414 and 610,074

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Solution

The third proportional to 288,414 and 610,074 is: 1,290,472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,414 : 610,074 = 610,074 : x
  2. Step 2: Convert to fraction form
    288,414/610,074 = 610,074/x
  3. Step 3: Cross multiply
    288,414x = 610,074 × 610,074
  4. Step 4: Simplify right side
    288,414x = 372,190,285,476
  5. Step 5: Solve for x
    x = 372,190,285,476/288,414
  6. Step 6: Final answer
    x = 1,290,472.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.