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Finding the Third Proportional to 233,174.50 and 502,023.50

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Solution

The third proportional to 233,174.50 and 502,023.50 is: 1,080,854.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,174.50 : 502,023.50 = 502,023.50 : x
  2. Step 2: Convert to fraction form
    233,174.50/502,023.50 = 502,023.50/x
  3. Step 3: Cross multiply
    233,174.50x = 502,023.50 × 502,023.50
  4. Step 4: Simplify right side
    233,174.50x = 252,027,594,552.25
  5. Step 5: Solve for x
    x = 252,027,594,552.25/233,174.50
  6. Step 6: Final answer
    x = 1,080,854.02

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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.