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Finding the Third Proportional to 233,224 and 366,654

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Solution

The third proportional to 233,224 and 366,654 is: 576,420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,224 : 366,654 = 366,654 : x
  2. Step 2: Convert to fraction form
    233,224/366,654 = 366,654/x
  3. Step 3: Cross multiply
    233,224x = 366,654 × 366,654
  4. Step 4: Simplify right side
    233,224x = 134,435,155,716
  5. Step 5: Solve for x
    x = 134,435,155,716/233,224
  6. Step 6: Final answer
    x = 576,420.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.