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Finding the Third Proportional to 207,352 and 445,024

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Solution

The third proportional to 207,352 and 445,024 is: 955,121.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,352 : 445,024 = 445,024 : x
  2. Step 2: Convert to fraction form
    207,352/445,024 = 445,024/x
  3. Step 3: Cross multiply
    207,352x = 445,024 × 445,024
  4. Step 4: Simplify right side
    207,352x = 198,046,360,576
  5. Step 5: Solve for x
    x = 198,046,360,576/207,352
  6. Step 6: Final answer
    x = 955,121.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.