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Finding the Third Proportional to 284,620 and 446,466

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Solution

The third proportional to 284,620 and 446,466 is: 700,343.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,620 : 446,466 = 446,466 : x
  2. Step 2: Convert to fraction form
    284,620/446,466 = 446,466/x
  3. Step 3: Cross multiply
    284,620x = 446,466 × 446,466
  4. Step 4: Simplify right side
    284,620x = 199,331,889,156
  5. Step 5: Solve for x
    x = 199,331,889,156/284,620
  6. Step 6: Final answer
    x = 700,343.93

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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.