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Finding the Third Proportional to 300,743 and 626,284

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Solution

The third proportional to 300,743 and 626,284 is: 1,304,208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,743 : 626,284 = 626,284 : x
  2. Step 2: Convert to fraction form
    300,743/626,284 = 626,284/x
  3. Step 3: Cross multiply
    300,743x = 626,284 × 626,284
  4. Step 4: Simplify right side
    300,743x = 392,231,648,656
  5. Step 5: Solve for x
    x = 392,231,648,656/300,743
  6. Step 6: Final answer
    x = 1,304,208.74

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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.