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Finding the Third Proportional to 334,638 and 490,797

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Solution

The third proportional to 334,638 and 490,797 is: 719,827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,638 : 490,797 = 490,797 : x
  2. Step 2: Convert to fraction form
    334,638/490,797 = 490,797/x
  3. Step 3: Cross multiply
    334,638x = 490,797 × 490,797
  4. Step 4: Simplify right side
    334,638x = 240,881,695,209
  5. Step 5: Solve for x
    x = 240,881,695,209/334,638
  6. Step 6: Final answer
    x = 719,827.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.