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Finding the Third Proportional to 264,864 and 574,880

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Solution

The third proportional to 264,864 and 574,880 is: 1,247,761.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,864 : 574,880 = 574,880 : x
  2. Step 2: Convert to fraction form
    264,864/574,880 = 574,880/x
  3. Step 3: Cross multiply
    264,864x = 574,880 × 574,880
  4. Step 4: Simplify right side
    264,864x = 330,487,014,400
  5. Step 5: Solve for x
    x = 330,487,014,400/264,864
  6. Step 6: Final answer
    x = 1,247,761.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.