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Finding the Third Proportional to 264,564 and 624,412

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Solution

The third proportional to 264,564 and 624,412 is: 1,473,708.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,564 : 624,412 = 624,412 : x
  2. Step 2: Convert to fraction form
    264,564/624,412 = 624,412/x
  3. Step 3: Cross multiply
    264,564x = 624,412 × 624,412
  4. Step 4: Simplify right side
    264,564x = 389,890,345,744
  5. Step 5: Solve for x
    x = 389,890,345,744/264,564
  6. Step 6: Final answer
    x = 1,473,708.99

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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.