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Finding the Third Proportional to 277,456 and 598,616

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Solution

The third proportional to 277,456 and 598,616 is: 1,291,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,456 : 598,616 = 598,616 : x
  2. Step 2: Convert to fraction form
    277,456/598,616 = 598,616/x
  3. Step 3: Cross multiply
    277,456x = 598,616 × 598,616
  4. Step 4: Simplify right side
    277,456x = 358,341,115,456
  5. Step 5: Solve for x
    x = 358,341,115,456/277,456
  6. Step 6: Final answer
    x = 1,291,524.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.