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Finding the Third Proportional to 276,334 and 610,754

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Solution

The third proportional to 276,334 and 610,754 is: 1,349,889.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,334 : 610,754 = 610,754 : x
  2. Step 2: Convert to fraction form
    276,334/610,754 = 610,754/x
  3. Step 3: Cross multiply
    276,334x = 610,754 × 610,754
  4. Step 4: Simplify right side
    276,334x = 373,020,448,516
  5. Step 5: Solve for x
    x = 373,020,448,516/276,334
  6. Step 6: Final answer
    x = 1,349,889.80

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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.