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Finding the Third Proportional to 332,196 and 708,684

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Solution

The third proportional to 332,196 and 708,684 is: 1,511,857.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,196 : 708,684 = 708,684 : x
  2. Step 2: Convert to fraction form
    332,196/708,684 = 708,684/x
  3. Step 3: Cross multiply
    332,196x = 708,684 × 708,684
  4. Step 4: Simplify right side
    332,196x = 502,233,011,856
  5. Step 5: Solve for x
    x = 502,233,011,856/332,196
  6. Step 6: Final answer
    x = 1,511,857.49

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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.