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Finding the Third Proportional to 327,504 and 710,304

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Solution

The third proportional to 327,504 and 710,304 is: 1,540,536.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,504 : 710,304 = 710,304 : x
  2. Step 2: Convert to fraction form
    327,504/710,304 = 710,304/x
  3. Step 3: Cross multiply
    327,504x = 710,304 × 710,304
  4. Step 4: Simplify right side
    327,504x = 504,531,772,416
  5. Step 5: Solve for x
    x = 504,531,772,416/327,504
  6. Step 6: Final answer
    x = 1,540,536.21

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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.