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Finding the Third Proportional to 227,484 and 531,612

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Solution

The third proportional to 227,484 and 531,612 is: 1,242,334.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,484 : 531,612 = 531,612 : x
  2. Step 2: Convert to fraction form
    227,484/531,612 = 531,612/x
  3. Step 3: Cross multiply
    227,484x = 531,612 × 531,612
  4. Step 4: Simplify right side
    227,484x = 282,611,318,544
  5. Step 5: Solve for x
    x = 282,611,318,544/227,484
  6. Step 6: Final answer
    x = 1,242,334.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.