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Finding the Third Proportional to 207,356 and 453,670

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Solution

The third proportional to 207,356 and 453,670 is: 992,575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,356 : 453,670 = 453,670 : x
  2. Step 2: Convert to fraction form
    207,356/453,670 = 453,670/x
  3. Step 3: Cross multiply
    207,356x = 453,670 × 453,670
  4. Step 4: Simplify right side
    207,356x = 205,816,468,900
  5. Step 5: Solve for x
    x = 205,816,468,900/207,356
  6. Step 6: Final answer
    x = 992,575.42

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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.