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Finding the Third Proportional to 277,600 and 602,767

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Solution

The third proportional to 277,600 and 602,767 is: 1,308,818.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,600 : 602,767 = 602,767 : x
  2. Step 2: Convert to fraction form
    277,600/602,767 = 602,767/x
  3. Step 3: Cross multiply
    277,600x = 602,767 × 602,767
  4. Step 4: Simplify right side
    277,600x = 363,328,056,289
  5. Step 5: Solve for x
    x = 363,328,056,289/277,600
  6. Step 6: Final answer
    x = 1,308,818.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.