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Finding the Third Proportional to 277,963 and 606,905

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Solution

The third proportional to 277,963 and 606,905 is: 1,325,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,963 : 606,905 = 606,905 : x
  2. Step 2: Convert to fraction form
    277,963/606,905 = 606,905/x
  3. Step 3: Cross multiply
    277,963x = 606,905 × 606,905
  4. Step 4: Simplify right side
    277,963x = 368,333,679,025
  5. Step 5: Solve for x
    x = 368,333,679,025/277,963
  6. Step 6: Final answer
    x = 1,325,117.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.