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Finding the Third Proportional to 239,529 and 525,715

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Solution

The third proportional to 239,529 and 525,715 is: 1,153,832.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,529 : 525,715 = 525,715 : x
  2. Step 2: Convert to fraction form
    239,529/525,715 = 525,715/x
  3. Step 3: Cross multiply
    239,529x = 525,715 × 525,715
  4. Step 4: Simplify right side
    239,529x = 276,376,261,225
  5. Step 5: Solve for x
    x = 276,376,261,225/239,529
  6. Step 6: Final answer
    x = 1,153,832.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.