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Finding the Third Proportional to 332,271 and 708,038

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Solution

The third proportional to 332,271 and 708,038 is: 1,508,761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,271 : 708,038 = 708,038 : x
  2. Step 2: Convert to fraction form
    332,271/708,038 = 708,038/x
  3. Step 3: Cross multiply
    332,271x = 708,038 × 708,038
  4. Step 4: Simplify right side
    332,271x = 501,317,809,444
  5. Step 5: Solve for x
    x = 501,317,809,444/332,271
  6. Step 6: Final answer
    x = 1,508,761.85

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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.