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Finding the Third Proportional to 366,964 and 564,216

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Solution

The third proportional to 366,964 and 564,216 is: 867,495.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,964 : 564,216 = 564,216 : x
  2. Step 2: Convert to fraction form
    366,964/564,216 = 564,216/x
  3. Step 3: Cross multiply
    366,964x = 564,216 × 564,216
  4. Step 4: Simplify right side
    366,964x = 318,339,694,656
  5. Step 5: Solve for x
    x = 318,339,694,656/366,964
  6. Step 6: Final answer
    x = 867,495.71

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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.