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Finding the Third Proportional to 264,642 and 624,213

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Solution

The third proportional to 264,642 and 624,213 is: 1,472,335.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,642 : 624,213 = 624,213 : x
  2. Step 2: Convert to fraction form
    264,642/624,213 = 624,213/x
  3. Step 3: Cross multiply
    264,642x = 624,213 × 624,213
  4. Step 4: Simplify right side
    264,642x = 389,641,869,369
  5. Step 5: Solve for x
    x = 389,641,869,369/264,642
  6. Step 6: Final answer
    x = 1,472,335.72

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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.