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Finding the Third Proportional to 366,385 and 522,969

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Solution

The third proportional to 366,385 and 522,969 is: 746,473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,385 : 522,969 = 522,969 : x
  2. Step 2: Convert to fraction form
    366,385/522,969 = 522,969/x
  3. Step 3: Cross multiply
    366,385x = 522,969 × 522,969
  4. Step 4: Simplify right side
    366,385x = 273,496,574,961
  5. Step 5: Solve for x
    x = 273,496,574,961/366,385
  6. Step 6: Final answer
    x = 746,473.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.