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Finding the Third Proportional to 274,114.50 and 437,415

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Solution

The third proportional to 274,114.50 and 437,415 is: 697,999.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,114.50 : 437,415 = 437,415 : x
  2. Step 2: Convert to fraction form
    274,114.50/437,415 = 437,415/x
  3. Step 3: Cross multiply
    274,114.50x = 437,415 × 437,415
  4. Step 4: Simplify right side
    274,114.50x = 191,331,882,225
  5. Step 5: Solve for x
    x = 191,331,882,225/274,114.50
  6. Step 6: Final answer
    x = 697,999.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.