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Finding the Third Proportional to 304,698 and 648,762

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Solution

The third proportional to 304,698 and 648,762 is: 1,381,341.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,698 : 648,762 = 648,762 : x
  2. Step 2: Convert to fraction form
    304,698/648,762 = 648,762/x
  3. Step 3: Cross multiply
    304,698x = 648,762 × 648,762
  4. Step 4: Simplify right side
    304,698x = 420,892,132,644
  5. Step 5: Solve for x
    x = 420,892,132,644/304,698
  6. Step 6: Final answer
    x = 1,381,341.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.