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Finding the Third Proportional to 453,626 and 667,316

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Solution

The third proportional to 453,626 and 667,316 is: 981,669.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,626 : 667,316 = 667,316 : x
  2. Step 2: Convert to fraction form
    453,626/667,316 = 667,316/x
  3. Step 3: Cross multiply
    453,626x = 667,316 × 667,316
  4. Step 4: Simplify right side
    453,626x = 445,310,643,856
  5. Step 5: Solve for x
    x = 445,310,643,856/453,626
  6. Step 6: Final answer
    x = 981,669.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.