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Finding the Third Proportional to 229,422 and 493,998

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Solution

The third proportional to 229,422 and 493,998 is: 1,063,690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,422 : 493,998 = 493,998 : x
  2. Step 2: Convert to fraction form
    229,422/493,998 = 493,998/x
  3. Step 3: Cross multiply
    229,422x = 493,998 × 493,998
  4. Step 4: Simplify right side
    229,422x = 244,034,024,004
  5. Step 5: Solve for x
    x = 244,034,024,004/229,422
  6. Step 6: Final answer
    x = 1,063,690.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.