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Finding the Third Proportional to 332,273 and 708,042

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Solution

The third proportional to 332,273 and 708,042 is: 1,508,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,273 : 708,042 = 708,042 : x
  2. Step 2: Convert to fraction form
    332,273/708,042 = 708,042/x
  3. Step 3: Cross multiply
    332,273x = 708,042 × 708,042
  4. Step 4: Simplify right side
    332,273x = 501,323,473,764
  5. Step 5: Solve for x
    x = 501,323,473,764/332,273
  6. Step 6: Final answer
    x = 1,508,769.82

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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.