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Finding the Third Proportional to 238,572 and 520,013.25

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Solution

The third proportional to 238,572 and 520,013.25 is: 1,133,468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,572 : 520,013.25 = 520,013.25 : x
  2. Step 2: Convert to fraction form
    238,572/520,013.25 = 520,013.25/x
  3. Step 3: Cross multiply
    238,572x = 520,013.25 × 520,013.25
  4. Step 4: Simplify right side
    238,572x = 270,413,780,175.56
  5. Step 5: Solve for x
    x = 270,413,780,175.56/238,572
  6. Step 6: Final answer
    x = 1,133,468.22

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.