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Finding the Third Proportional to 379,296 and 569,952

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Solution

The third proportional to 379,296 and 569,952 is: 856,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,296 : 569,952 = 569,952 : x
  2. Step 2: Convert to fraction form
    379,296/569,952 = 569,952/x
  3. Step 3: Cross multiply
    379,296x = 569,952 × 569,952
  4. Step 4: Simplify right side
    379,296x = 324,845,282,304
  5. Step 5: Solve for x
    x = 324,845,282,304/379,296
  6. Step 6: Final answer
    x = 856,442.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.