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Finding the Third Proportional to 277,314 and 567,770

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Solution

The third proportional to 277,314 and 567,770 is: 1,162,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,314 : 567,770 = 567,770 : x
  2. Step 2: Convert to fraction form
    277,314/567,770 = 567,770/x
  3. Step 3: Cross multiply
    277,314x = 567,770 × 567,770
  4. Step 4: Simplify right side
    277,314x = 322,362,772,900
  5. Step 5: Solve for x
    x = 322,362,772,900/277,314
  6. Step 6: Final answer
    x = 1,162,446.80

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.