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Finding the Third Proportional to 207,456 and 468,768

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Solution

The third proportional to 207,456 and 468,768 is: 1,059,229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,456 : 468,768 = 468,768 : x
  2. Step 2: Convert to fraction form
    207,456/468,768 = 468,768/x
  3. Step 3: Cross multiply
    207,456x = 468,768 × 468,768
  4. Step 4: Simplify right side
    207,456x = 219,743,437,824
  5. Step 5: Solve for x
    x = 219,743,437,824/207,456
  6. Step 6: Final answer
    x = 1,059,229.13

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.