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Finding the Third Proportional to 222,319.69 and 524,647.13

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Solution

The third proportional to 222,319.69 and 524,647.13 is: 1,238,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,319.69 : 524,647.13 = 524,647.13 : x
  2. Step 2: Convert to fraction form
    222,319.69/524,647.13 = 524,647.13/x
  3. Step 3: Cross multiply
    222,319.69x = 524,647.13 × 524,647.13
  4. Step 4: Simplify right side
    222,319.69x = 275,254,605,770.77
  5. Step 5: Solve for x
    x = 275,254,605,770.77/222,319.69
  6. Step 6: Final answer
    x = 1,238,102.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.