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Finding the Third Proportional to 327,520 and 710,336

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Solution

The third proportional to 327,520 and 710,336 is: 1,540,599.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,520 : 710,336 = 710,336 : x
  2. Step 2: Convert to fraction form
    327,520/710,336 = 710,336/x
  3. Step 3: Cross multiply
    327,520x = 710,336 × 710,336
  4. Step 4: Simplify right side
    327,520x = 504,577,232,896
  5. Step 5: Solve for x
    x = 504,577,232,896/327,520
  6. Step 6: Final answer
    x = 1,540,599.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.