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Finding the Third Proportional to 328,022 and 710,449

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Solution

The third proportional to 328,022 and 710,449 is: 1,538,731.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,022 : 710,449 = 710,449 : x
  2. Step 2: Convert to fraction form
    328,022/710,449 = 710,449/x
  3. Step 3: Cross multiply
    328,022x = 710,449 × 710,449
  4. Step 4: Simplify right side
    328,022x = 504,737,781,601
  5. Step 5: Solve for x
    x = 504,737,781,601/328,022
  6. Step 6: Final answer
    x = 1,538,731.49

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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.