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Finding the Third Proportional to 285,862.92 and 419,250.94

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Solution

The third proportional to 285,862.92 and 419,250.94 is: 614,879.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,862.92 : 419,250.94 = 419,250.94 : x
  2. Step 2: Convert to fraction form
    285,862.92/419,250.94 = 419,250.94/x
  3. Step 3: Cross multiply
    285,862.92x = 419,250.94 × 419,250.94
  4. Step 4: Simplify right side
    285,862.92x = 175,771,348,594.63
  5. Step 5: Solve for x
    x = 175,771,348,594.63/285,862.92
  6. Step 6: Final answer
    x = 614,879.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.