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Finding the Third Proportional to 264,679 and 624,715

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Solution

The third proportional to 264,679 and 624,715 is: 1,474,498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,679 : 624,715 = 624,715 : x
  2. Step 2: Convert to fraction form
    264,679/624,715 = 624,715/x
  3. Step 3: Cross multiply
    264,679x = 624,715 × 624,715
  4. Step 4: Simplify right side
    264,679x = 390,268,831,225
  5. Step 5: Solve for x
    x = 390,268,831,225/264,679
  6. Step 6: Final answer
    x = 1,474,498.66

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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.