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Finding the Third Proportional to 264,812 and 624,592

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Solution

The third proportional to 264,812 and 624,592 is: 1,473,177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,812 : 624,592 = 624,592 : x
  2. Step 2: Convert to fraction form
    264,812/624,592 = 624,592/x
  3. Step 3: Cross multiply
    264,812x = 624,592 × 624,592
  4. Step 4: Simplify right side
    264,812x = 390,115,166,464
  5. Step 5: Solve for x
    x = 390,115,166,464/264,812
  6. Step 6: Final answer
    x = 1,473,177.83

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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.