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Finding the Third Proportional to 294,454 and 459,177

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Solution

The third proportional to 294,454 and 459,177 is: 716,049.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,454 : 459,177 = 459,177 : x
  2. Step 2: Convert to fraction form
    294,454/459,177 = 459,177/x
  3. Step 3: Cross multiply
    294,454x = 459,177 × 459,177
  4. Step 4: Simplify right side
    294,454x = 210,843,517,329
  5. Step 5: Solve for x
    x = 210,843,517,329/294,454
  6. Step 6: Final answer
    x = 716,049.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.