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Finding the Third Proportional to 366,954 and 564,201

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Solution

The third proportional to 366,954 and 564,201 is: 867,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,954 : 564,201 = 564,201 : x
  2. Step 2: Convert to fraction form
    366,954/564,201 = 564,201/x
  3. Step 3: Cross multiply
    366,954x = 564,201 × 564,201
  4. Step 4: Simplify right side
    366,954x = 318,322,768,401
  5. Step 5: Solve for x
    x = 318,322,768,401/366,954
  6. Step 6: Final answer
    x = 867,473.22

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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.