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Finding the Third Proportional to 597,860 and 888,276

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Solution

The third proportional to 597,860 and 888,276 is: 1,319,764.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,860 : 888,276 = 888,276 : x
  2. Step 2: Convert to fraction form
    597,860/888,276 = 888,276/x
  3. Step 3: Cross multiply
    597,860x = 888,276 × 888,276
  4. Step 4: Simplify right side
    597,860x = 789,034,252,176
  5. Step 5: Solve for x
    x = 789,034,252,176/597,860
  6. Step 6: Final answer
    x = 1,319,764.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.