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Finding the Third Proportional to 454,123.50 and 703,161

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Solution

The third proportional to 454,123.50 and 703,161 is: 1,088,768.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,123.50 : 703,161 = 703,161 : x
  2. Step 2: Convert to fraction form
    454,123.50/703,161 = 703,161/x
  3. Step 3: Cross multiply
    454,123.50x = 703,161 × 703,161
  4. Step 4: Simplify right side
    454,123.50x = 494,435,391,921
  5. Step 5: Solve for x
    x = 494,435,391,921/454,123.50
  6. Step 6: Final answer
    x = 1,088,768.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.