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Finding the Third Proportional to 284,660 and 616,070

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Solution

The third proportional to 284,660 and 616,070 is: 1,333,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,660 : 616,070 = 616,070 : x
  2. Step 2: Convert to fraction form
    284,660/616,070 = 616,070/x
  3. Step 3: Cross multiply
    284,660x = 616,070 × 616,070
  4. Step 4: Simplify right side
    284,660x = 379,542,244,900
  5. Step 5: Solve for x
    x = 379,542,244,900/284,660
  6. Step 6: Final answer
    x = 1,333,317.80

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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.