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Finding the Third Proportional to 207,424 and 455,024

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Solution

The third proportional to 207,424 and 455,024 is: 998,181.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,424 : 455,024 = 455,024 : x
  2. Step 2: Convert to fraction form
    207,424/455,024 = 455,024/x
  3. Step 3: Cross multiply
    207,424x = 455,024 × 455,024
  4. Step 4: Simplify right side
    207,424x = 207,046,840,576
  5. Step 5: Solve for x
    x = 207,046,840,576/207,424
  6. Step 6: Final answer
    x = 998,181.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.