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Finding the Third Proportional to 277,863 and 607,101

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Solution

The third proportional to 277,863 and 607,101 is: 1,326,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,863 : 607,101 = 607,101 : x
  2. Step 2: Convert to fraction form
    277,863/607,101 = 607,101/x
  3. Step 3: Cross multiply
    277,863x = 607,101 × 607,101
  4. Step 4: Simplify right side
    277,863x = 368,571,624,201
  5. Step 5: Solve for x
    x = 368,571,624,201/277,863
  6. Step 6: Final answer
    x = 1,326,450.89

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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.