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Finding the Third Proportional to 229,237.75 and 497,860.73

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Solution

The third proportional to 229,237.75 and 497,860.73 is: 1,081,258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,237.75 : 497,860.73 = 497,860.73 : x
  2. Step 2: Convert to fraction form
    229,237.75/497,860.73 = 497,860.73/x
  3. Step 3: Cross multiply
    229,237.75x = 497,860.73 × 497,860.73
  4. Step 4: Simplify right side
    229,237.75x = 247,865,302,080.97
  5. Step 5: Solve for x
    x = 247,865,302,080.97/229,237.75
  6. Step 6: Final answer
    x = 1,081,258.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.