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Finding the Third Proportional to 276,324 and 596,208

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Solution

The third proportional to 276,324 and 596,208 is: 1,286,402.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,324 : 596,208 = 596,208 : x
  2. Step 2: Convert to fraction form
    276,324/596,208 = 596,208/x
  3. Step 3: Cross multiply
    276,324x = 596,208 × 596,208
  4. Step 4: Simplify right side
    276,324x = 355,463,979,264
  5. Step 5: Solve for x
    x = 355,463,979,264/276,324
  6. Step 6: Final answer
    x = 1,286,402.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.