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Finding the Third Proportional to 332,270 and 708,036

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Solution

The third proportional to 332,270 and 708,036 is: 1,508,757.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,270 : 708,036 = 708,036 : x
  2. Step 2: Convert to fraction form
    332,270/708,036 = 708,036/x
  3. Step 3: Cross multiply
    332,270x = 708,036 × 708,036
  4. Step 4: Simplify right side
    332,270x = 501,314,977,296
  5. Step 5: Solve for x
    x = 501,314,977,296/332,270
  6. Step 6: Final answer
    x = 1,508,757.87

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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.