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Finding the Third Proportional to 341,489 and 501,161

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Solution

The third proportional to 341,489 and 501,161 is: 735,491.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,489 : 501,161 = 501,161 : x
  2. Step 2: Convert to fraction form
    341,489/501,161 = 501,161/x
  3. Step 3: Cross multiply
    341,489x = 501,161 × 501,161
  4. Step 4: Simplify right side
    341,489x = 251,162,347,921
  5. Step 5: Solve for x
    x = 251,162,347,921/341,489
  6. Step 6: Final answer
    x = 735,491.77

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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.