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Finding the Third Proportional to 284,974 and 443,017

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Solution

The third proportional to 284,974 and 443,017 is: 688,708.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,974 : 443,017 = 443,017 : x
  2. Step 2: Convert to fraction form
    284,974/443,017 = 443,017/x
  3. Step 3: Cross multiply
    284,974x = 443,017 × 443,017
  4. Step 4: Simplify right side
    284,974x = 196,264,062,289
  5. Step 5: Solve for x
    x = 196,264,062,289/284,974
  6. Step 6: Final answer
    x = 688,708.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.