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Finding the Third Proportional to 284,645 and 616,042

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Solution

The third proportional to 284,645 and 616,042 is: 1,333,266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,645 : 616,042 = 616,042 : x
  2. Step 2: Convert to fraction form
    284,645/616,042 = 616,042/x
  3. Step 3: Cross multiply
    284,645x = 616,042 × 616,042
  4. Step 4: Simplify right side
    284,645x = 379,507,745,764
  5. Step 5: Solve for x
    x = 379,507,745,764/284,645
  6. Step 6: Final answer
    x = 1,333,266.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.