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Finding the Third Proportional to 597,818 and 888,257

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Solution

The third proportional to 597,818 and 888,257 is: 1,319,800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,818 : 888,257 = 888,257 : x
  2. Step 2: Convert to fraction form
    597,818/888,257 = 888,257/x
  3. Step 3: Cross multiply
    597,818x = 888,257 × 888,257
  4. Step 4: Simplify right side
    597,818x = 789,000,498,049
  5. Step 5: Solve for x
    x = 789,000,498,049/597,818
  6. Step 6: Final answer
    x = 1,319,800.50

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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.