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Finding the Third Proportional to 284,288 and 588,704

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Solution

The third proportional to 284,288 and 588,704 is: 1,219,089.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,288 : 588,704 = 588,704 : x
  2. Step 2: Convert to fraction form
    284,288/588,704 = 588,704/x
  3. Step 3: Cross multiply
    284,288x = 588,704 × 588,704
  4. Step 4: Simplify right side
    284,288x = 346,572,399,616
  5. Step 5: Solve for x
    x = 346,572,399,616/284,288
  6. Step 6: Final answer
    x = 1,219,089.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.