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Finding the Third Proportional to 322,915 and 497,998

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Solution

The third proportional to 322,915 and 497,998 is: 768,010.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,915 : 497,998 = 497,998 : x
  2. Step 2: Convert to fraction form
    322,915/497,998 = 497,998/x
  3. Step 3: Cross multiply
    322,915x = 497,998 × 497,998
  4. Step 4: Simplify right side
    322,915x = 248,002,008,004
  5. Step 5: Solve for x
    x = 248,002,008,004/322,915
  6. Step 6: Final answer
    x = 768,010.18

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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.