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Finding the Third Proportional to 527,598 and 816,612.75

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Solution

The third proportional to 527,598 and 816,612.75 is: 1,263,947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,598 : 816,612.75 = 816,612.75 : x
  2. Step 2: Convert to fraction form
    527,598/816,612.75 = 816,612.75/x
  3. Step 3: Cross multiply
    527,598x = 816,612.75 × 816,612.75
  4. Step 4: Simplify right side
    527,598x = 666,856,383,462.56
  5. Step 5: Solve for x
    x = 666,856,383,462.56/527,598
  6. Step 6: Final answer
    x = 1,263,947.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.