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Finding the Third Proportional to 517,104 and 758,616

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Solution

The third proportional to 517,104 and 758,616 is: 1,112,925.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,104 : 758,616 = 758,616 : x
  2. Step 2: Convert to fraction form
    517,104/758,616 = 758,616/x
  3. Step 3: Cross multiply
    517,104x = 758,616 × 758,616
  4. Step 4: Simplify right side
    517,104x = 575,498,235,456
  5. Step 5: Solve for x
    x = 575,498,235,456/517,104
  6. Step 6: Final answer
    x = 1,112,925.51

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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.