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Finding the Third Proportional to 210,520 and 452,561

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Solution

The third proportional to 210,520 and 452,561 is: 972,883.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,520 : 452,561 = 452,561 : x
  2. Step 2: Convert to fraction form
    210,520/452,561 = 452,561/x
  3. Step 3: Cross multiply
    210,520x = 452,561 × 452,561
  4. Step 4: Simplify right side
    210,520x = 204,811,458,721
  5. Step 5: Solve for x
    x = 204,811,458,721/210,520
  6. Step 6: Final answer
    x = 972,883.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.