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Finding the Third Proportional to 296,351.58 and 423,480.23

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Solution

The third proportional to 296,351.58 and 423,480.23 is: 605,144.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,351.58 : 423,480.23 = 423,480.23 : x
  2. Step 2: Convert to fraction form
    296,351.58/423,480.23 = 423,480.23/x
  3. Step 3: Cross multiply
    296,351.58x = 423,480.23 × 423,480.23
  4. Step 4: Simplify right side
    296,351.58x = 179,335,508,906.31
  5. Step 5: Solve for x
    x = 179,335,508,906.31/296,351.58
  6. Step 6: Final answer
    x = 605,144.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.