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Finding the Third Proportional to 264,646 and 624,223

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Solution

The third proportional to 264,646 and 624,223 is: 1,472,360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,646 : 624,223 = 624,223 : x
  2. Step 2: Convert to fraction form
    264,646/624,223 = 624,223/x
  3. Step 3: Cross multiply
    264,646x = 624,223 × 624,223
  4. Step 4: Simplify right side
    264,646x = 389,654,353,729
  5. Step 5: Solve for x
    x = 389,654,353,729/264,646
  6. Step 6: Final answer
    x = 1,472,360.64

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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.