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Finding the Third Proportional to 228,837 and 473,586

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Solution

The third proportional to 228,837 and 473,586 is: 980,102.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,837 : 473,586 = 473,586 : x
  2. Step 2: Convert to fraction form
    228,837/473,586 = 473,586/x
  3. Step 3: Cross multiply
    228,837x = 473,586 × 473,586
  4. Step 4: Simplify right side
    228,837x = 224,283,699,396
  5. Step 5: Solve for x
    x = 224,283,699,396/228,837
  6. Step 6: Final answer
    x = 980,102.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.