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Finding the Third Proportional to 326,924 and 490,714

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Solution

The third proportional to 326,924 and 490,714 is: 736,563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,924 : 490,714 = 490,714 : x
  2. Step 2: Convert to fraction form
    326,924/490,714 = 490,714/x
  3. Step 3: Cross multiply
    326,924x = 490,714 × 490,714
  4. Step 4: Simplify right side
    326,924x = 240,800,229,796
  5. Step 5: Solve for x
    x = 240,800,229,796/326,924
  6. Step 6: Final answer
    x = 736,563.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.