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Finding the Third Proportional to 272,434 and 409,023

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Solution

The third proportional to 272,434 and 409,023 is: 614,093.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,434 : 409,023 = 409,023 : x
  2. Step 2: Convert to fraction form
    272,434/409,023 = 409,023/x
  3. Step 3: Cross multiply
    272,434x = 409,023 × 409,023
  4. Step 4: Simplify right side
    272,434x = 167,299,814,529
  5. Step 5: Solve for x
    x = 167,299,814,529/272,434
  6. Step 6: Final answer
    x = 614,093.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.