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Finding the Third Proportional to 229,194.21 and 497,830.64

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Solution

The third proportional to 229,194.21 and 497,830.64 is: 1,081,333.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,194.21 : 497,830.64 = 497,830.64 : x
  2. Step 2: Convert to fraction form
    229,194.21/497,830.64 = 497,830.64/x
  3. Step 3: Cross multiply
    229,194.21x = 497,830.64 × 497,830.64
  4. Step 4: Simplify right side
    229,194.21x = 247,835,346,745.10
  5. Step 5: Solve for x
    x = 247,835,346,745.10/229,194.21
  6. Step 6: Final answer
    x = 1,081,333.36

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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.