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Finding the Third Proportional to 517,109 and 758,623

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Solution

The third proportional to 517,109 and 758,623 is: 1,112,935.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,109 : 758,623 = 758,623 : x
  2. Step 2: Convert to fraction form
    517,109/758,623 = 758,623/x
  3. Step 3: Cross multiply
    517,109x = 758,623 × 758,623
  4. Step 4: Simplify right side
    517,109x = 575,508,856,129
  5. Step 5: Solve for x
    x = 575,508,856,129/517,109
  6. Step 6: Final answer
    x = 1,112,935.29

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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.