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Finding the Third Proportional to 332,208 and 708,708

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Solution

The third proportional to 332,208 and 708,708 is: 1,511,905.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,208 : 708,708 = 708,708 : x
  2. Step 2: Convert to fraction form
    332,208/708,708 = 708,708/x
  3. Step 3: Cross multiply
    332,208x = 708,708 × 708,708
  4. Step 4: Simplify right side
    332,208x = 502,267,029,264
  5. Step 5: Solve for x
    x = 502,267,029,264/332,208
  6. Step 6: Final answer
    x = 1,511,905.28

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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.