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Finding the Third Proportional to 284,051 and 611,019

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Solution

The third proportional to 284,051 and 611,019 is: 1,314,356.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,051 : 611,019 = 611,019 : x
  2. Step 2: Convert to fraction form
    284,051/611,019 = 611,019/x
  3. Step 3: Cross multiply
    284,051x = 611,019 × 611,019
  4. Step 4: Simplify right side
    284,051x = 373,344,218,361
  5. Step 5: Solve for x
    x = 373,344,218,361/284,051
  6. Step 6: Final answer
    x = 1,314,356.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.