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Finding the Third Proportional to 276,463.13 and 371,509.03

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Solution

The third proportional to 276,463.13 and 371,509.03 is: 499,230.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,463.13 : 371,509.03 = 371,509.03 : x
  2. Step 2: Convert to fraction form
    276,463.13/371,509.03 = 371,509.03/x
  3. Step 3: Cross multiply
    276,463.13x = 371,509.03 × 371,509.03
  4. Step 4: Simplify right side
    276,463.13x = 138,018,960,300.31
  5. Step 5: Solve for x
    x = 138,018,960,300.31/276,463.13
  6. Step 6: Final answer
    x = 499,230.99

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.