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Finding the Third Proportional to 207,172 and 447,024

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Solution

The third proportional to 207,172 and 447,024 is: 964,563.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,172 : 447,024 = 447,024 : x
  2. Step 2: Convert to fraction form
    207,172/447,024 = 447,024/x
  3. Step 3: Cross multiply
    207,172x = 447,024 × 447,024
  4. Step 4: Simplify right side
    207,172x = 199,830,456,576
  5. Step 5: Solve for x
    x = 199,830,456,576/207,172
  6. Step 6: Final answer
    x = 964,563.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.