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Finding the Third Proportional to 276,314 and 610,700

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Solution

The third proportional to 276,314 and 610,700 is: 1,349,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,314 : 610,700 = 610,700 : x
  2. Step 2: Convert to fraction form
    276,314/610,700 = 610,700/x
  3. Step 3: Cross multiply
    276,314x = 610,700 × 610,700
  4. Step 4: Simplify right side
    276,314x = 372,954,490,000
  5. Step 5: Solve for x
    x = 372,954,490,000/276,314
  6. Step 6: Final answer
    x = 1,349,748.80

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.