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Finding the Third Proportional to 651,481.50 and 996,597

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Solution

The third proportional to 651,481.50 and 996,597 is: 1,524,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,481.50 : 996,597 = 996,597 : x
  2. Step 2: Convert to fraction form
    651,481.50/996,597 = 996,597/x
  3. Step 3: Cross multiply
    651,481.50x = 996,597 × 996,597
  4. Step 4: Simplify right side
    651,481.50x = 993,205,580,409
  5. Step 5: Solve for x
    x = 993,205,580,409/651,481.50
  6. Step 6: Final answer
    x = 1,524,533.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.