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Finding the Third Proportional to 515,154.50 and 757,832

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Solution

The third proportional to 515,154.50 and 757,832 is: 1,114,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,154.50 : 757,832 = 757,832 : x
  2. Step 2: Convert to fraction form
    515,154.50/757,832 = 757,832/x
  3. Step 3: Cross multiply
    515,154.50x = 757,832 × 757,832
  4. Step 4: Simplify right side
    515,154.50x = 574,309,340,224
  5. Step 5: Solve for x
    x = 574,309,340,224/515,154.50
  6. Step 6: Final answer
    x = 1,114,829.32

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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.