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Finding the Third Proportional to 285,454 and 588,187

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Solution

The third proportional to 285,454 and 588,187 is: 1,211,977.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,454 : 588,187 = 588,187 : x
  2. Step 2: Convert to fraction form
    285,454/588,187 = 588,187/x
  3. Step 3: Cross multiply
    285,454x = 588,187 × 588,187
  4. Step 4: Simplify right side
    285,454x = 345,963,946,969
  5. Step 5: Solve for x
    x = 345,963,946,969/285,454
  6. Step 6: Final answer
    x = 1,211,977.93

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.