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Finding the Third Proportional to 332,201 and 708,694

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Solution

The third proportional to 332,201 and 708,694 is: 1,511,877.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,201 : 708,694 = 708,694 : x
  2. Step 2: Convert to fraction form
    332,201/708,694 = 708,694/x
  3. Step 3: Cross multiply
    332,201x = 708,694 × 708,694
  4. Step 4: Simplify right side
    332,201x = 502,247,185,636
  5. Step 5: Solve for x
    x = 502,247,185,636/332,201
  6. Step 6: Final answer
    x = 1,511,877.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.