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Finding the Third Proportional to 264,644 and 624,218

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Solution

The third proportional to 264,644 and 624,218 is: 1,472,348.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,644 : 624,218 = 624,218 : x
  2. Step 2: Convert to fraction form
    264,644/624,218 = 624,218/x
  3. Step 3: Cross multiply
    264,644x = 624,218 × 624,218
  4. Step 4: Simplify right side
    264,644x = 389,648,111,524
  5. Step 5: Solve for x
    x = 389,648,111,524/264,644
  6. Step 6: Final answer
    x = 1,472,348.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.