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Finding the Third Proportional to 493,864 and 721,929

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Solution

The third proportional to 493,864 and 721,929 is: 1,055,313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,864 : 721,929 = 721,929 : x
  2. Step 2: Convert to fraction form
    493,864/721,929 = 721,929/x
  3. Step 3: Cross multiply
    493,864x = 721,929 × 721,929
  4. Step 4: Simplify right side
    493,864x = 521,181,481,041
  5. Step 5: Solve for x
    x = 521,181,481,041/493,864
  6. Step 6: Final answer
    x = 1,055,313.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.