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Finding the Third Proportional to 407,886 and 573,372

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Solution

The third proportional to 407,886 and 573,372 is: 805,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,886 : 573,372 = 573,372 : x
  2. Step 2: Convert to fraction form
    407,886/573,372 = 573,372/x
  3. Step 3: Cross multiply
    407,886x = 573,372 × 573,372
  4. Step 4: Simplify right side
    407,886x = 328,755,450,384
  5. Step 5: Solve for x
    x = 328,755,450,384/407,886
  6. Step 6: Final answer
    x = 805,998.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.