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Finding the Third Proportional to 209,458 and 452,126

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Solution

The third proportional to 209,458 and 452,126 is: 975,937.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,458 : 452,126 = 452,126 : x
  2. Step 2: Convert to fraction form
    209,458/452,126 = 452,126/x
  3. Step 3: Cross multiply
    209,458x = 452,126 × 452,126
  4. Step 4: Simplify right side
    209,458x = 204,417,919,876
  5. Step 5: Solve for x
    x = 204,417,919,876/209,458
  6. Step 6: Final answer
    x = 975,937.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.