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Finding the Third Proportional to 515,197 and 757,888

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Solution

The third proportional to 515,197 and 757,888 is: 1,114,902.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,197 : 757,888 = 757,888 : x
  2. Step 2: Convert to fraction form
    515,197/757,888 = 757,888/x
  3. Step 3: Cross multiply
    515,197x = 757,888 × 757,888
  4. Step 4: Simplify right side
    515,197x = 574,394,220,544
  5. Step 5: Solve for x
    x = 574,394,220,544/515,197
  6. Step 6: Final answer
    x = 1,114,902.11

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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.