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Finding the Third Proportional to 332,894.25 and 471,037.50

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Solution

The third proportional to 332,894.25 and 471,037.50 is: 666,506.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,894.25 : 471,037.50 = 471,037.50 : x
  2. Step 2: Convert to fraction form
    332,894.25/471,037.50 = 471,037.50/x
  3. Step 3: Cross multiply
    332,894.25x = 471,037.50 × 471,037.50
  4. Step 4: Simplify right side
    332,894.25x = 221,876,326,406.25
  5. Step 5: Solve for x
    x = 221,876,326,406.25/332,894.25
  6. Step 6: Final answer
    x = 666,506.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.