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Finding the Third Proportional to 284,655 and 616,062

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Solution

The third proportional to 284,655 and 616,062 is: 1,333,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,655 : 616,062 = 616,062 : x
  2. Step 2: Convert to fraction form
    284,655/616,062 = 616,062/x
  3. Step 3: Cross multiply
    284,655x = 616,062 × 616,062
  4. Step 4: Simplify right side
    284,655x = 379,532,387,844
  5. Step 5: Solve for x
    x = 379,532,387,844/284,655
  6. Step 6: Final answer
    x = 1,333,306.59

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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.