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Finding the Third Proportional to 238,581 and 520,029

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Solution

The third proportional to 238,581 and 520,029 is: 1,133,494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,581 : 520,029 = 520,029 : x
  2. Step 2: Convert to fraction form
    238,581/520,029 = 520,029/x
  3. Step 3: Cross multiply
    238,581x = 520,029 × 520,029
  4. Step 4: Simplify right side
    238,581x = 270,430,160,841
  5. Step 5: Solve for x
    x = 270,430,160,841/238,581
  6. Step 6: Final answer
    x = 1,133,494.12

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Why These Related Problems?

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