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Finding the Third Proportional to 456,718.50 and 981,477

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Solution

The third proportional to 456,718.50 and 981,477 is: 2,109,170.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,718.50 : 981,477 = 981,477 : x
  2. Step 2: Convert to fraction form
    456,718.50/981,477 = 981,477/x
  3. Step 3: Cross multiply
    456,718.50x = 981,477 × 981,477
  4. Step 4: Simplify right side
    456,718.50x = 963,297,101,529
  5. Step 5: Solve for x
    x = 963,297,101,529/456,718.50
  6. Step 6: Final answer
    x = 2,109,170.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.