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Finding the Third Proportional to 274,355 and 412,263

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Solution

The third proportional to 274,355 and 412,263 is: 619,492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,355 : 412,263 = 412,263 : x
  2. Step 2: Convert to fraction form
    274,355/412,263 = 412,263/x
  3. Step 3: Cross multiply
    274,355x = 412,263 × 412,263
  4. Step 4: Simplify right side
    274,355x = 169,960,781,169
  5. Step 5: Solve for x
    x = 169,960,781,169/274,355
  6. Step 6: Final answer
    x = 619,492.20

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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.