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Finding the Third Proportional to 515,187 and 757,873

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Solution

The third proportional to 515,187 and 757,873 is: 1,114,879.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,187 : 757,873 = 757,873 : x
  2. Step 2: Convert to fraction form
    515,187/757,873 = 757,873/x
  3. Step 3: Cross multiply
    515,187x = 757,873 × 757,873
  4. Step 4: Simplify right side
    515,187x = 574,371,484,129
  5. Step 5: Solve for x
    x = 574,371,484,129/515,187
  6. Step 6: Final answer
    x = 1,114,879.61

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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.