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Finding the Third Proportional to 329,804 and 497,768

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Solution

The third proportional to 329,804 and 497,768 is: 751,273.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,804 : 497,768 = 497,768 : x
  2. Step 2: Convert to fraction form
    329,804/497,768 = 497,768/x
  3. Step 3: Cross multiply
    329,804x = 497,768 × 497,768
  4. Step 4: Simplify right side
    329,804x = 247,772,981,824
  5. Step 5: Solve for x
    x = 247,772,981,824/329,804
  6. Step 6: Final answer
    x = 751,273.43

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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.