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Finding the Third Proportional to 410,349 and 613,882.50

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Solution

The third proportional to 410,349 and 613,882.50 is: 918,368.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,349 : 613,882.50 = 613,882.50 : x
  2. Step 2: Convert to fraction form
    410,349/613,882.50 = 613,882.50/x
  3. Step 3: Cross multiply
    410,349x = 613,882.50 × 613,882.50
  4. Step 4: Simplify right side
    410,349x = 376,851,723,806.25
  5. Step 5: Solve for x
    x = 376,851,723,806.25/410,349
  6. Step 6: Final answer
    x = 918,368.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.