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Finding the Third Proportional to 264,497 and 624,273

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Solution

The third proportional to 264,497 and 624,273 is: 1,473,426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,497 : 624,273 = 624,273 : x
  2. Step 2: Convert to fraction form
    264,497/624,273 = 624,273/x
  3. Step 3: Cross multiply
    264,497x = 624,273 × 624,273
  4. Step 4: Simplify right side
    264,497x = 389,716,778,529
  5. Step 5: Solve for x
    x = 389,716,778,529/264,497
  6. Step 6: Final answer
    x = 1,473,426.08

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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.