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Finding the Third Proportional to 277,297.50 and 596,625

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Solution

The third proportional to 277,297.50 and 596,625 is: 1,283,680.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,297.50 : 596,625 = 596,625 : x
  2. Step 2: Convert to fraction form
    277,297.50/596,625 = 596,625/x
  3. Step 3: Cross multiply
    277,297.50x = 596,625 × 596,625
  4. Step 4: Simplify right side
    277,297.50x = 355,961,390,625
  5. Step 5: Solve for x
    x = 355,961,390,625/277,297.50
  6. Step 6: Final answer
    x = 1,283,680.49

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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.