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Finding the Third Proportional to 241,494 and 354,831

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Solution

The third proportional to 241,494 and 354,831 is: 521,358.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,494 : 354,831 = 354,831 : x
  2. Step 2: Convert to fraction form
    241,494/354,831 = 354,831/x
  3. Step 3: Cross multiply
    241,494x = 354,831 × 354,831
  4. Step 4: Simplify right side
    241,494x = 125,905,038,561
  5. Step 5: Solve for x
    x = 125,905,038,561/241,494
  6. Step 6: Final answer
    x = 521,358.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.