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Finding the Third Proportional to 276,209 and 418,047.50

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Solution

The third proportional to 276,209 and 418,047.50 is: 632,722.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,209 : 418,047.50 = 418,047.50 : x
  2. Step 2: Convert to fraction form
    276,209/418,047.50 = 418,047.50/x
  3. Step 3: Cross multiply
    276,209x = 418,047.50 × 418,047.50
  4. Step 4: Simplify right side
    276,209x = 174,763,712,256.25
  5. Step 5: Solve for x
    x = 174,763,712,256.25/276,209
  6. Step 6: Final answer
    x = 632,722.73

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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.