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Finding the Third Proportional to 332,266 and 708,032

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Solution

The third proportional to 332,266 and 708,032 is: 1,508,758.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,266 : 708,032 = 708,032 : x
  2. Step 2: Convert to fraction form
    332,266/708,032 = 708,032/x
  3. Step 3: Cross multiply
    332,266x = 708,032 × 708,032
  4. Step 4: Simplify right side
    332,266x = 501,309,313,024
  5. Step 5: Solve for x
    x = 501,309,313,024/332,266
  6. Step 6: Final answer
    x = 1,508,758.99

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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.