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Finding the Third Proportional to 329,816 and 722,755

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Solution

The third proportional to 329,816 and 722,755 is: 1,583,837.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,816 : 722,755 = 722,755 : x
  2. Step 2: Convert to fraction form
    329,816/722,755 = 722,755/x
  3. Step 3: Cross multiply
    329,816x = 722,755 × 722,755
  4. Step 4: Simplify right side
    329,816x = 522,374,790,025
  5. Step 5: Solve for x
    x = 522,374,790,025/329,816
  6. Step 6: Final answer
    x = 1,583,837.02

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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.