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Finding the Third Proportional to 332,871.19 and 471,004.88

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Solution

The third proportional to 332,871.19 and 471,004.88 is: 666,460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,871.19 : 471,004.88 = 471,004.88 : x
  2. Step 2: Convert to fraction form
    332,871.19/471,004.88 = 471,004.88/x
  3. Step 3: Cross multiply
    332,871.19x = 471,004.88 × 471,004.88
  4. Step 4: Simplify right side
    332,871.19x = 221,845,592,273.77
  5. Step 5: Solve for x
    x = 221,845,592,273.77/332,871.19
  6. Step 6: Final answer
    x = 666,460.78

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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.