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Finding the Third Proportional to 515,166 and 757,324.50

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Solution

The third proportional to 515,166 and 757,324.50 is: 1,113,311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,166 : 757,324.50 = 757,324.50 : x
  2. Step 2: Convert to fraction form
    515,166/757,324.50 = 757,324.50/x
  3. Step 3: Cross multiply
    515,166x = 757,324.50 × 757,324.50
  4. Step 4: Simplify right side
    515,166x = 573,540,398,300.25
  5. Step 5: Solve for x
    x = 573,540,398,300.25/515,166
  6. Step 6: Final answer
    x = 1,113,311.82

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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.