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Finding the Third Proportional to 330,904 and 717,792

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Solution

The third proportional to 330,904 and 717,792 is: 1,557,023.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,904 : 717,792 = 717,792 : x
  2. Step 2: Convert to fraction form
    330,904/717,792 = 717,792/x
  3. Step 3: Cross multiply
    330,904x = 717,792 × 717,792
  4. Step 4: Simplify right side
    330,904x = 515,225,355,264
  5. Step 5: Solve for x
    x = 515,225,355,264/330,904
  6. Step 6: Final answer
    x = 1,557,023.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.