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Finding the Third Proportional to 277,065 and 596,508

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Solution

The third proportional to 277,065 and 596,508 is: 1,284,253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,065 : 596,508 = 596,508 : x
  2. Step 2: Convert to fraction form
    277,065/596,508 = 596,508/x
  3. Step 3: Cross multiply
    277,065x = 596,508 × 596,508
  4. Step 4: Simplify right side
    277,065x = 355,821,794,064
  5. Step 5: Solve for x
    x = 355,821,794,064/277,065
  6. Step 6: Final answer
    x = 1,284,253.85

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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.