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Finding the Third Proportional to 277,293 and 567,729

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Solution

The third proportional to 277,293 and 567,729 is: 1,162,366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,293 : 567,729 = 567,729 : x
  2. Step 2: Convert to fraction form
    277,293/567,729 = 567,729/x
  3. Step 3: Cross multiply
    277,293x = 567,729 × 567,729
  4. Step 4: Simplify right side
    277,293x = 322,316,217,441
  5. Step 5: Solve for x
    x = 322,316,217,441/277,293
  6. Step 6: Final answer
    x = 1,162,366.95

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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.