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Finding the Third Proportional to 274,327.50 and 411,492

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Solution

The third proportional to 274,327.50 and 411,492 is: 617,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,327.50 : 411,492 = 411,492 : x
  2. Step 2: Convert to fraction form
    274,327.50/411,492 = 411,492/x
  3. Step 3: Cross multiply
    274,327.50x = 411,492 × 411,492
  4. Step 4: Simplify right side
    274,327.50x = 169,325,666,064
  5. Step 5: Solve for x
    x = 169,325,666,064/274,327.50
  6. Step 6: Final answer
    x = 617,239.13

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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.