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Finding the Third Proportional to 283,905 and 626,859

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Solution

The third proportional to 283,905 and 626,859 is: 1,384,097.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,905 : 626,859 = 626,859 : x
  2. Step 2: Convert to fraction form
    283,905/626,859 = 626,859/x
  3. Step 3: Cross multiply
    283,905x = 626,859 × 626,859
  4. Step 4: Simplify right side
    283,905x = 392,952,205,881
  5. Step 5: Solve for x
    x = 392,952,205,881/283,905
  6. Step 6: Final answer
    x = 1,384,097.52

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.