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Finding the Third Proportional to 230,623.88 and 506,650.50

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Solution

The third proportional to 230,623.88 and 506,650.50 is: 1,113,044.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,623.88 : 506,650.50 = 506,650.50 : x
  2. Step 2: Convert to fraction form
    230,623.88/506,650.50 = 506,650.50/x
  3. Step 3: Cross multiply
    230,623.88x = 506,650.50 × 506,650.50
  4. Step 4: Simplify right side
    230,623.88x = 256,694,729,150.25
  5. Step 5: Solve for x
    x = 256,694,729,150.25/230,623.88
  6. Step 6: Final answer
    x = 1,113,044.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.