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Finding the Third Proportional to 329,726 and 497,667

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Solution

The third proportional to 329,726 and 497,667 is: 751,146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,726 : 497,667 = 497,667 : x
  2. Step 2: Convert to fraction form
    329,726/497,667 = 497,667/x
  3. Step 3: Cross multiply
    329,726x = 497,667 × 497,667
  4. Step 4: Simplify right side
    329,726x = 247,672,442,889
  5. Step 5: Solve for x
    x = 247,672,442,889/329,726
  6. Step 6: Final answer
    x = 751,146.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.