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Finding the Third Proportional to 594,760 and 892,320

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Solution

The third proportional to 594,760 and 892,320 is: 1,338,750.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,760 : 892,320 = 892,320 : x
  2. Step 2: Convert to fraction form
    594,760/892,320 = 892,320/x
  3. Step 3: Cross multiply
    594,760x = 892,320 × 892,320
  4. Step 4: Simplify right side
    594,760x = 796,234,982,400
  5. Step 5: Solve for x
    x = 796,234,982,400/594,760
  6. Step 6: Final answer
    x = 1,338,750.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.