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Finding the Third Proportional to 517,111 and 758,626

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Solution

The third proportional to 517,111 and 758,626 is: 1,112,939.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,111 : 758,626 = 758,626 : x
  2. Step 2: Convert to fraction form
    517,111/758,626 = 758,626/x
  3. Step 3: Cross multiply
    517,111x = 758,626 × 758,626
  4. Step 4: Simplify right side
    517,111x = 575,513,407,876
  5. Step 5: Solve for x
    x = 575,513,407,876/517,111
  6. Step 6: Final answer
    x = 1,112,939.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.