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Finding the Third Proportional to 301,000 and 626,908

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Solution

The third proportional to 301,000 and 626,908 is: 1,305,693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,000 : 626,908 = 626,908 : x
  2. Step 2: Convert to fraction form
    301,000/626,908 = 626,908/x
  3. Step 3: Cross multiply
    301,000x = 626,908 × 626,908
  4. Step 4: Simplify right side
    301,000x = 393,013,640,464
  5. Step 5: Solve for x
    x = 393,013,640,464/301,000
  6. Step 6: Final answer
    x = 1,305,693.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.