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Finding the Third Proportional to 197,505 and 424,983

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Solution

The third proportional to 197,505 and 424,983 is: 914,460.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,505 : 424,983 = 424,983 : x
  2. Step 2: Convert to fraction form
    197,505/424,983 = 424,983/x
  3. Step 3: Cross multiply
    197,505x = 424,983 × 424,983
  4. Step 4: Simplify right side
    197,505x = 180,610,550,289
  5. Step 5: Solve for x
    x = 180,610,550,289/197,505
  6. Step 6: Final answer
    x = 914,460.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.