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Finding the Third Proportional to 468,976 and 727,260

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Solution

The third proportional to 468,976 and 727,260 is: 1,127,791.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,976 : 727,260 = 727,260 : x
  2. Step 2: Convert to fraction form
    468,976/727,260 = 727,260/x
  3. Step 3: Cross multiply
    468,976x = 727,260 × 727,260
  4. Step 4: Simplify right side
    468,976x = 528,907,107,600
  5. Step 5: Solve for x
    x = 528,907,107,600/468,976
  6. Step 6: Final answer
    x = 1,127,791.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.