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Finding the Third Proportional to 276,784 and 596,017

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Solution

The third proportional to 276,784 and 596,017 is: 1,283,442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,784 : 596,017 = 596,017 : x
  2. Step 2: Convert to fraction form
    276,784/596,017 = 596,017/x
  3. Step 3: Cross multiply
    276,784x = 596,017 × 596,017
  4. Step 4: Simplify right side
    276,784x = 355,236,264,289
  5. Step 5: Solve for x
    x = 355,236,264,289/276,784
  6. Step 6: Final answer
    x = 1,283,442.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.