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Finding the Third Proportional to 517,500 and 785,004

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Solution

The third proportional to 517,500 and 785,004 is: 1,190,785.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,500 : 785,004 = 785,004 : x
  2. Step 2: Convert to fraction form
    517,500/785,004 = 785,004/x
  3. Step 3: Cross multiply
    517,500x = 785,004 × 785,004
  4. Step 4: Simplify right side
    517,500x = 616,231,280,016
  5. Step 5: Solve for x
    x = 616,231,280,016/517,500
  6. Step 6: Final answer
    x = 1,190,785.08

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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.