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Finding the Third Proportional to 329,967 and 722,979

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Solution

The third proportional to 329,967 and 722,979 is: 1,584,093.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,967 : 722,979 = 722,979 : x
  2. Step 2: Convert to fraction form
    329,967/722,979 = 722,979/x
  3. Step 3: Cross multiply
    329,967x = 722,979 × 722,979
  4. Step 4: Simplify right side
    329,967x = 522,698,634,441
  5. Step 5: Solve for x
    x = 522,698,634,441/329,967
  6. Step 6: Final answer
    x = 1,584,093.67

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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.