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Finding the Third Proportional to 277,299 and 596,630

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Solution

The third proportional to 277,299 and 596,630 is: 1,283,695.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,299 : 596,630 = 596,630 : x
  2. Step 2: Convert to fraction form
    277,299/596,630 = 596,630/x
  3. Step 3: Cross multiply
    277,299x = 596,630 × 596,630
  4. Step 4: Simplify right side
    277,299x = 355,967,356,900
  5. Step 5: Solve for x
    x = 355,967,356,900/277,299
  6. Step 6: Final answer
    x = 1,283,695.06

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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.