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Finding the Third Proportional to 515,165 and 757,848

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Solution

The third proportional to 515,165 and 757,848 is: 1,114,853.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,165 : 757,848 = 757,848 : x
  2. Step 2: Convert to fraction form
    515,165/757,848 = 757,848/x
  3. Step 3: Cross multiply
    515,165x = 757,848 × 757,848
  4. Step 4: Simplify right side
    515,165x = 574,333,591,104
  5. Step 5: Solve for x
    x = 574,333,591,104/515,165
  6. Step 6: Final answer
    x = 1,114,853.67

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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.