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Finding the Third Proportional to 285,360 and 674,850

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Solution

The third proportional to 285,360 and 674,850 is: 1,595,957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,360 : 674,850 = 674,850 : x
  2. Step 2: Convert to fraction form
    285,360/674,850 = 674,850/x
  3. Step 3: Cross multiply
    285,360x = 674,850 × 674,850
  4. Step 4: Simplify right side
    285,360x = 455,422,522,500
  5. Step 5: Solve for x
    x = 455,422,522,500/285,360
  6. Step 6: Final answer
    x = 1,595,957.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.