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Finding the Third Proportional to 366,962 and 564,213

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Solution

The third proportional to 366,962 and 564,213 is: 867,491.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,962 : 564,213 = 564,213 : x
  2. Step 2: Convert to fraction form
    366,962/564,213 = 564,213/x
  3. Step 3: Cross multiply
    366,962x = 564,213 × 564,213
  4. Step 4: Simplify right side
    366,962x = 318,336,309,369
  5. Step 5: Solve for x
    x = 318,336,309,369/366,962
  6. Step 6: Final answer
    x = 867,491.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.