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Finding the Third Proportional to 264,650 and 624,233

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Solution

The third proportional to 264,650 and 624,233 is: 1,472,385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,650 : 624,233 = 624,233 : x
  2. Step 2: Convert to fraction form
    264,650/624,233 = 624,233/x
  3. Step 3: Cross multiply
    264,650x = 624,233 × 624,233
  4. Step 4: Simplify right side
    264,650x = 389,666,838,289
  5. Step 5: Solve for x
    x = 389,666,838,289/264,650
  6. Step 6: Final answer
    x = 1,472,385.56

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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.