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Finding the Third Proportional to 375,427.50 and 809,535

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Solution

The third proportional to 375,427.50 and 809,535 is: 1,745,601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,427.50 : 809,535 = 809,535 : x
  2. Step 2: Convert to fraction form
    375,427.50/809,535 = 809,535/x
  3. Step 3: Cross multiply
    375,427.50x = 809,535 × 809,535
  4. Step 4: Simplify right side
    375,427.50x = 655,346,916,225
  5. Step 5: Solve for x
    x = 655,346,916,225/375,427.50
  6. Step 6: Final answer
    x = 1,745,601.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.