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Finding the Third Proportional to 292,830.75 and 593,811

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Solution

The third proportional to 292,830.75 and 593,811 is: 1,204,147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,830.75 : 593,811 = 593,811 : x
  2. Step 2: Convert to fraction form
    292,830.75/593,811 = 593,811/x
  3. Step 3: Cross multiply
    292,830.75x = 593,811 × 593,811
  4. Step 4: Simplify right side
    292,830.75x = 352,611,503,721
  5. Step 5: Solve for x
    x = 352,611,503,721/292,830.75
  6. Step 6: Final answer
    x = 1,204,147.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.