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Finding the Third Proportional to 332,074 and 717,044

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Solution

The third proportional to 332,074 and 717,044 is: 1,548,305.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,074 : 717,044 = 717,044 : x
  2. Step 2: Convert to fraction form
    332,074/717,044 = 717,044/x
  3. Step 3: Cross multiply
    332,074x = 717,044 × 717,044
  4. Step 4: Simplify right side
    332,074x = 514,152,097,936
  5. Step 5: Solve for x
    x = 514,152,097,936/332,074
  6. Step 6: Final answer
    x = 1,548,305.79

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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.