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Finding the Third Proportional to 272,642 and 452,816

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Solution

The third proportional to 272,642 and 452,816 is: 752,057.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,642 : 452,816 = 452,816 : x
  2. Step 2: Convert to fraction form
    272,642/452,816 = 452,816/x
  3. Step 3: Cross multiply
    272,642x = 452,816 × 452,816
  4. Step 4: Simplify right side
    272,642x = 205,042,329,856
  5. Step 5: Solve for x
    x = 205,042,329,856/272,642
  6. Step 6: Final answer
    x = 752,057.02

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.