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Finding the Third Proportional to 366,616 and 564,153

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Solution

The third proportional to 366,616 and 564,153 is: 868,125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,616 : 564,153 = 564,153 : x
  2. Step 2: Convert to fraction form
    366,616/564,153 = 564,153/x
  3. Step 3: Cross multiply
    366,616x = 564,153 × 564,153
  4. Step 4: Simplify right side
    366,616x = 318,268,607,409
  5. Step 5: Solve for x
    x = 318,268,607,409/366,616
  6. Step 6: Final answer
    x = 868,125.25

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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.