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Finding the Third Proportional to 229,952 and 493,504

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Solution

The third proportional to 229,952 and 493,504 is: 1,059,117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,952 : 493,504 = 493,504 : x
  2. Step 2: Convert to fraction form
    229,952/493,504 = 493,504/x
  3. Step 3: Cross multiply
    229,952x = 493,504 × 493,504
  4. Step 4: Simplify right side
    229,952x = 243,546,198,016
  5. Step 5: Solve for x
    x = 243,546,198,016/229,952
  6. Step 6: Final answer
    x = 1,059,117.55

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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.