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Finding the Third Proportional to 207,364 and 453,704

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Solution

The third proportional to 207,364 and 453,704 is: 992,685.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,364 : 453,704 = 453,704 : x
  2. Step 2: Convert to fraction form
    207,364/453,704 = 453,704/x
  3. Step 3: Cross multiply
    207,364x = 453,704 × 453,704
  4. Step 4: Simplify right side
    207,364x = 205,847,319,616
  5. Step 5: Solve for x
    x = 205,847,319,616/207,364
  6. Step 6: Final answer
    x = 992,685.90

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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.