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Finding the Third Proportional to 291,285 and 447,078

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Solution

The third proportional to 291,285 and 447,078 is: 686,196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,285 : 447,078 = 447,078 : x
  2. Step 2: Convert to fraction form
    291,285/447,078 = 447,078/x
  3. Step 3: Cross multiply
    291,285x = 447,078 × 447,078
  4. Step 4: Simplify right side
    291,285x = 199,878,738,084
  5. Step 5: Solve for x
    x = 199,878,738,084/291,285
  6. Step 6: Final answer
    x = 686,196.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.