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Finding the Third Proportional to 264,658 and 624,253

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Solution

The third proportional to 264,658 and 624,253 is: 1,472,435.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,658 : 624,253 = 624,253 : x
  2. Step 2: Convert to fraction form
    264,658/624,253 = 624,253/x
  3. Step 3: Cross multiply
    264,658x = 624,253 × 624,253
  4. Step 4: Simplify right side
    264,658x = 389,691,808,009
  5. Step 5: Solve for x
    x = 389,691,808,009/264,658
  6. Step 6: Final answer
    x = 1,472,435.40

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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.