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Finding the Third Proportional to 270,945 and 402,492

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Solution

The third proportional to 270,945 and 402,492 is: 597,906.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,945 : 402,492 = 402,492 : x
  2. Step 2: Convert to fraction form
    270,945/402,492 = 402,492/x
  3. Step 3: Cross multiply
    270,945x = 402,492 × 402,492
  4. Step 4: Simplify right side
    270,945x = 161,999,810,064
  5. Step 5: Solve for x
    x = 161,999,810,064/270,945
  6. Step 6: Final answer
    x = 597,906.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.