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Finding the Third Proportional to 322,362 and 497,073

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Solution

The third proportional to 322,362 and 497,073 is: 766,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,362 : 497,073 = 497,073 : x
  2. Step 2: Convert to fraction form
    322,362/497,073 = 497,073/x
  3. Step 3: Cross multiply
    322,362x = 497,073 × 497,073
  4. Step 4: Simplify right side
    322,362x = 247,081,567,329
  5. Step 5: Solve for x
    x = 247,081,567,329/322,362
  6. Step 6: Final answer
    x = 766,472.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.