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Finding the Third Proportional to 277,916 and 598,700

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Solution

The third proportional to 277,916 and 598,700 is: 1,289,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,916 : 598,700 = 598,700 : x
  2. Step 2: Convert to fraction form
    277,916/598,700 = 598,700/x
  3. Step 3: Cross multiply
    277,916x = 598,700 × 598,700
  4. Step 4: Simplify right side
    277,916x = 358,441,690,000
  5. Step 5: Solve for x
    x = 358,441,690,000/277,916
  6. Step 6: Final answer
    x = 1,289,748.31

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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.