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Finding the Third Proportional to 277,516 and 594,399

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Solution

The third proportional to 277,516 and 594,399 is: 1,273,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,516 : 594,399 = 594,399 : x
  2. Step 2: Convert to fraction form
    277,516/594,399 = 594,399/x
  3. Step 3: Cross multiply
    277,516x = 594,399 × 594,399
  4. Step 4: Simplify right side
    277,516x = 353,310,171,201
  5. Step 5: Solve for x
    x = 353,310,171,201/277,516
  6. Step 6: Final answer
    x = 1,273,116.40

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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.