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Finding the Third Proportional to 285,957.84 and 595,600.59

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Solution

The third proportional to 285,957.84 and 595,600.59 is: 1,240,532.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,957.84 : 595,600.59 = 595,600.59 : x
  2. Step 2: Convert to fraction form
    285,957.84/595,600.59 = 595,600.59/x
  3. Step 3: Cross multiply
    285,957.84x = 595,600.59 × 595,600.59
  4. Step 4: Simplify right side
    285,957.84x = 354,740,067,275.35
  5. Step 5: Solve for x
    x = 354,740,067,275.35/285,957.84
  6. Step 6: Final answer
    x = 1,240,532.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.