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Finding the Third Proportional to 329,799 and 722,718

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Solution

The third proportional to 329,799 and 722,718 is: 1,583,756.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,799 : 722,718 = 722,718 : x
  2. Step 2: Convert to fraction form
    329,799/722,718 = 722,718/x
  3. Step 3: Cross multiply
    329,799x = 722,718 × 722,718
  4. Step 4: Simplify right side
    329,799x = 522,321,307,524
  5. Step 5: Solve for x
    x = 522,321,307,524/329,799
  6. Step 6: Final answer
    x = 1,583,756.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.