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Finding the Third Proportional to 332,072 and 717,040

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Solution

The third proportional to 332,072 and 717,040 is: 1,548,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,072 : 717,040 = 717,040 : x
  2. Step 2: Convert to fraction form
    332,072/717,040 = 717,040/x
  3. Step 3: Cross multiply
    332,072x = 717,040 × 717,040
  4. Step 4: Simplify right side
    332,072x = 514,146,361,600
  5. Step 5: Solve for x
    x = 514,146,361,600/332,072
  6. Step 6: Final answer
    x = 1,548,297.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.