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Finding the Third Proportional to 229,007.25 and 497,400.75

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Solution

The third proportional to 229,007.25 and 497,400.75 is: 1,080,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,007.25 : 497,400.75 = 497,400.75 : x
  2. Step 2: Convert to fraction form
    229,007.25/497,400.75 = 497,400.75/x
  3. Step 3: Cross multiply
    229,007.25x = 497,400.75 × 497,400.75
  4. Step 4: Simplify right side
    229,007.25x = 247,407,506,100.56
  5. Step 5: Solve for x
    x = 247,407,506,100.56/229,007.25
  6. Step 6: Final answer
    x = 1,080,347.92

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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.