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Finding the Third Proportional to 515,069 and 757,188

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Solution

The third proportional to 515,069 and 757,188 is: 1,113,120.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,069 : 757,188 = 757,188 : x
  2. Step 2: Convert to fraction form
    515,069/757,188 = 757,188/x
  3. Step 3: Cross multiply
    515,069x = 757,188 × 757,188
  4. Step 4: Simplify right side
    515,069x = 573,333,667,344
  5. Step 5: Solve for x
    x = 573,333,667,344/515,069
  6. Step 6: Final answer
    x = 1,113,120.12

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.