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Finding the Third Proportional to 277,392 and 596,918

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Solution

The third proportional to 277,392 and 596,918 is: 1,284,503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,392 : 596,918 = 596,918 : x
  2. Step 2: Convert to fraction form
    277,392/596,918 = 596,918/x
  3. Step 3: Cross multiply
    277,392x = 596,918 × 596,918
  4. Step 4: Simplify right side
    277,392x = 356,311,098,724
  5. Step 5: Solve for x
    x = 356,311,098,724/277,392
  6. Step 6: Final answer
    x = 1,284,503.87

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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.