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Finding the Third Proportional to 328,212 and 703,080

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Solution

The third proportional to 328,212 and 703,080 is: 1,506,104.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,212 : 703,080 = 703,080 : x
  2. Step 2: Convert to fraction form
    328,212/703,080 = 703,080/x
  3. Step 3: Cross multiply
    328,212x = 703,080 × 703,080
  4. Step 4: Simplify right side
    328,212x = 494,321,486,400
  5. Step 5: Solve for x
    x = 494,321,486,400/328,212
  6. Step 6: Final answer
    x = 1,506,104.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.