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Finding the Third Proportional to 326,980 and 439,410

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Solution

The third proportional to 326,980 and 439,410 is: 590,498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,980 : 439,410 = 439,410 : x
  2. Step 2: Convert to fraction form
    326,980/439,410 = 439,410/x
  3. Step 3: Cross multiply
    326,980x = 439,410 × 439,410
  4. Step 4: Simplify right side
    326,980x = 193,081,148,100
  5. Step 5: Solve for x
    x = 193,081,148,100/326,980
  6. Step 6: Final answer
    x = 590,498.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.