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Finding the Third Proportional to 226,230 and 497,290.50

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Solution

The third proportional to 226,230 and 497,290.50 is: 1,093,125.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,230 : 497,290.50 = 497,290.50 : x
  2. Step 2: Convert to fraction form
    226,230/497,290.50 = 497,290.50/x
  3. Step 3: Cross multiply
    226,230x = 497,290.50 × 497,290.50
  4. Step 4: Simplify right side
    226,230x = 247,297,841,390.25
  5. Step 5: Solve for x
    x = 247,297,841,390.25/226,230
  6. Step 6: Final answer
    x = 1,093,125.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.