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Finding the Third Proportional to 276,214.50 and 418,057.50

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Solution

The third proportional to 276,214.50 and 418,057.50 is: 632,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,214.50 : 418,057.50 = 418,057.50 : x
  2. Step 2: Convert to fraction form
    276,214.50/418,057.50 = 418,057.50/x
  3. Step 3: Cross multiply
    276,214.50x = 418,057.50 × 418,057.50
  4. Step 4: Simplify right side
    276,214.50x = 174,772,073,306.25
  5. Step 5: Solve for x
    x = 174,772,073,306.25/276,214.50
  6. Step 6: Final answer
    x = 632,740.40

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Why These Related Problems?

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