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Finding the Third Proportional to 332,901 and 471,047

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Solution

The third proportional to 332,901 and 471,047 is: 666,520.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,901 : 471,047 = 471,047 : x
  2. Step 2: Convert to fraction form
    332,901/471,047 = 471,047/x
  3. Step 3: Cross multiply
    332,901x = 471,047 × 471,047
  4. Step 4: Simplify right side
    332,901x = 221,885,276,209
  5. Step 5: Solve for x
    x = 221,885,276,209/332,901
  6. Step 6: Final answer
    x = 666,520.31

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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.