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Finding the Third Proportional to 319,920 and 740,616

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Solution

The third proportional to 319,920 and 740,616 is: 1,714,528.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,920 : 740,616 = 740,616 : x
  2. Step 2: Convert to fraction form
    319,920/740,616 = 740,616/x
  3. Step 3: Cross multiply
    319,920x = 740,616 × 740,616
  4. Step 4: Simplify right side
    319,920x = 548,512,059,456
  5. Step 5: Solve for x
    x = 548,512,059,456/319,920
  6. Step 6: Final answer
    x = 1,714,528.82

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.