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Finding the Third Proportional to 276,199.88 and 418,035.94

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Solution

The third proportional to 276,199.88 and 418,035.94 is: 632,708.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,199.88 : 418,035.94 = 418,035.94 : x
  2. Step 2: Convert to fraction form
    276,199.88/418,035.94 = 418,035.94/x
  3. Step 3: Cross multiply
    276,199.88x = 418,035.94 × 418,035.94
  4. Step 4: Simplify right side
    276,199.88x = 174,754,045,041.50
  5. Step 5: Solve for x
    x = 174,754,045,041.50/276,199.88
  6. Step 6: Final answer
    x = 632,708.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.