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Finding the Third Proportional to 517,508 and 785,016

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Solution

The third proportional to 517,508 and 785,016 is: 1,190,803.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,508 : 785,016 = 785,016 : x
  2. Step 2: Convert to fraction form
    517,508/785,016 = 785,016/x
  3. Step 3: Cross multiply
    517,508x = 785,016 × 785,016
  4. Step 4: Simplify right side
    517,508x = 616,250,120,256
  5. Step 5: Solve for x
    x = 616,250,120,256/517,508
  6. Step 6: Final answer
    x = 1,190,803.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.