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Finding the Third Proportional to 356,960 and 574,032

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Solution

The third proportional to 356,960 and 574,032 is: 923,108.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,960 : 574,032 = 574,032 : x
  2. Step 2: Convert to fraction form
    356,960/574,032 = 574,032/x
  3. Step 3: Cross multiply
    356,960x = 574,032 × 574,032
  4. Step 4: Simplify right side
    356,960x = 329,512,737,024
  5. Step 5: Solve for x
    x = 329,512,737,024/356,960
  6. Step 6: Final answer
    x = 923,108.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.