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Finding the Third Proportional to 238,572 and 365,499

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Solution

The third proportional to 238,572 and 365,499 is: 559,954.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,572 : 365,499 = 365,499 : x
  2. Step 2: Convert to fraction form
    238,572/365,499 = 365,499/x
  3. Step 3: Cross multiply
    238,572x = 365,499 × 365,499
  4. Step 4: Simplify right side
    238,572x = 133,589,519,001
  5. Step 5: Solve for x
    x = 133,589,519,001/238,572
  6. Step 6: Final answer
    x = 559,954.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.