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Finding the Third Proportional to 276,046 and 418,210

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Solution

The third proportional to 276,046 and 418,210 is: 633,588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,046 : 418,210 = 418,210 : x
  2. Step 2: Convert to fraction form
    276,046/418,210 = 418,210/x
  3. Step 3: Cross multiply
    276,046x = 418,210 × 418,210
  4. Step 4: Simplify right side
    276,046x = 174,899,604,100
  5. Step 5: Solve for x
    x = 174,899,604,100/276,046
  6. Step 6: Final answer
    x = 633,588.62

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.