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Finding the Third Proportional to 332,364 and 484,013.25

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Solution

The third proportional to 332,364 and 484,013.25 is: 704,856.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,364 : 484,013.25 = 484,013.25 : x
  2. Step 2: Convert to fraction form
    332,364/484,013.25 = 484,013.25/x
  3. Step 3: Cross multiply
    332,364x = 484,013.25 × 484,013.25
  4. Step 4: Simplify right side
    332,364x = 234,268,826,175.56
  5. Step 5: Solve for x
    x = 234,268,826,175.56/332,364
  6. Step 6: Final answer
    x = 704,856.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.