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Finding the Third Proportional to 284,620 and 446,468

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Solution

The third proportional to 284,620 and 446,468 is: 700,350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,620 : 446,468 = 446,468 : x
  2. Step 2: Convert to fraction form
    284,620/446,468 = 446,468/x
  3. Step 3: Cross multiply
    284,620x = 446,468 × 446,468
  4. Step 4: Simplify right side
    284,620x = 199,333,675,024
  5. Step 5: Solve for x
    x = 199,333,675,024/284,620
  6. Step 6: Final answer
    x = 700,350.20

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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.