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Finding the Third Proportional to 264,414 and 578,892

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Solution

The third proportional to 264,414 and 578,892 is: 1,267,391.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,414 : 578,892 = 578,892 : x
  2. Step 2: Convert to fraction form
    264,414/578,892 = 578,892/x
  3. Step 3: Cross multiply
    264,414x = 578,892 × 578,892
  4. Step 4: Simplify right side
    264,414x = 335,115,947,664
  5. Step 5: Solve for x
    x = 335,115,947,664/264,414
  6. Step 6: Final answer
    x = 1,267,391.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.