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Finding the Third Proportional to 284,612 and 446,454

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Solution

The third proportional to 284,612 and 446,454 is: 700,325.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,612 : 446,454 = 446,454 : x
  2. Step 2: Convert to fraction form
    284,612/446,454 = 446,454/x
  3. Step 3: Cross multiply
    284,612x = 446,454 × 446,454
  4. Step 4: Simplify right side
    284,612x = 199,321,174,116
  5. Step 5: Solve for x
    x = 199,321,174,116/284,612
  6. Step 6: Final answer
    x = 700,325.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.