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Finding the Third Proportional to 238,702 and 525,396

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Solution

The third proportional to 238,702 and 525,396 is: 1,156,424.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,702 : 525,396 = 525,396 : x
  2. Step 2: Convert to fraction form
    238,702/525,396 = 525,396/x
  3. Step 3: Cross multiply
    238,702x = 525,396 × 525,396
  4. Step 4: Simplify right side
    238,702x = 276,040,956,816
  5. Step 5: Solve for x
    x = 276,040,956,816/238,702
  6. Step 6: Final answer
    x = 1,156,424.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.