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Finding the Third Proportional to 708,466 and 823,626

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Solution

The third proportional to 708,466 and 823,626 is: 957,505.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,466 : 823,626 = 823,626 : x
  2. Step 2: Convert to fraction form
    708,466/823,626 = 823,626/x
  3. Step 3: Cross multiply
    708,466x = 823,626 × 823,626
  4. Step 4: Simplify right side
    708,466x = 678,359,787,876
  5. Step 5: Solve for x
    x = 678,359,787,876/708,466
  6. Step 6: Final answer
    x = 957,505.07

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.