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Finding the Third Proportional to 276,345 and 594,972

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Solution

The third proportional to 276,345 and 594,972 is: 1,280,977.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,345 : 594,972 = 594,972 : x
  2. Step 2: Convert to fraction form
    276,345/594,972 = 594,972/x
  3. Step 3: Cross multiply
    276,345x = 594,972 × 594,972
  4. Step 4: Simplify right side
    276,345x = 353,991,680,784
  5. Step 5: Solve for x
    x = 353,991,680,784/276,345
  6. Step 6: Final answer
    x = 1,280,977.33

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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.