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Finding the Third Proportional to 329,114 and 717,696

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Solution

The third proportional to 329,114 and 717,696 is: 1,565,073.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,114 : 717,696 = 717,696 : x
  2. Step 2: Convert to fraction form
    329,114/717,696 = 717,696/x
  3. Step 3: Cross multiply
    329,114x = 717,696 × 717,696
  4. Step 4: Simplify right side
    329,114x = 515,087,548,416
  5. Step 5: Solve for x
    x = 515,087,548,416/329,114
  6. Step 6: Final answer
    x = 1,565,073.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.