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Finding the Third Proportional to 276,364 and 590,648

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Solution

The third proportional to 276,364 and 590,648 is: 1,262,339.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,364 : 590,648 = 590,648 : x
  2. Step 2: Convert to fraction form
    276,364/590,648 = 590,648/x
  3. Step 3: Cross multiply
    276,364x = 590,648 × 590,648
  4. Step 4: Simplify right side
    276,364x = 348,865,059,904
  5. Step 5: Solve for x
    x = 348,865,059,904/276,364
  6. Step 6: Final answer
    x = 1,262,339.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.