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Finding the Third Proportional to 454,560 and 677,896.50

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Solution

The third proportional to 454,560 and 677,896.50 is: 1,010,963.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,560 : 677,896.50 = 677,896.50 : x
  2. Step 2: Convert to fraction form
    454,560/677,896.50 = 677,896.50/x
  3. Step 3: Cross multiply
    454,560x = 677,896.50 × 677,896.50
  4. Step 4: Simplify right side
    454,560x = 459,543,664,712.25
  5. Step 5: Solve for x
    x = 459,543,664,712.25/454,560
  6. Step 6: Final answer
    x = 1,010,963.71

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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.