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Finding the Third Proportional to 264,675 and 624,705

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Solution

The third proportional to 264,675 and 624,705 is: 1,474,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,675 : 624,705 = 624,705 : x
  2. Step 2: Convert to fraction form
    264,675/624,705 = 624,705/x
  3. Step 3: Cross multiply
    264,675x = 624,705 × 624,705
  4. Step 4: Simplify right side
    264,675x = 390,256,337,025
  5. Step 5: Solve for x
    x = 390,256,337,025/264,675
  6. Step 6: Final answer
    x = 1,474,473.74

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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.