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Finding the Third Proportional to 451,911.66 and 599,750.58

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Solution

The third proportional to 451,911.66 and 599,750.58 is: 795,953.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,911.66 : 599,750.58 = 599,750.58 : x
  2. Step 2: Convert to fraction form
    451,911.66/599,750.58 = 599,750.58/x
  3. Step 3: Cross multiply
    451,911.66x = 599,750.58 × 599,750.58
  4. Step 4: Simplify right side
    451,911.66x = 359,700,755,961.27
  5. Step 5: Solve for x
    x = 359,700,755,961.27/451,911.66
  6. Step 6: Final answer
    x = 795,953.70

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.