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Finding the Third Proportional to 127,004 and 277,622

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Solution

The third proportional to 127,004 and 277,622 is: 606,862.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,004 : 277,622 = 277,622 : x
  2. Step 2: Convert to fraction form
    127,004/277,622 = 277,622/x
  3. Step 3: Cross multiply
    127,004x = 277,622 × 277,622
  4. Step 4: Simplify right side
    127,004x = 77,073,974,884
  5. Step 5: Solve for x
    x = 77,073,974,884/127,004
  6. Step 6: Final answer
    x = 606,862.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.