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Finding the Third Proportional to 222,022.13 and 487,400.06

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Solution

The third proportional to 222,022.13 and 487,400.06 is: 1,069,978.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,022.13 : 487,400.06 = 487,400.06 : x
  2. Step 2: Convert to fraction form
    222,022.13/487,400.06 = 487,400.06/x
  3. Step 3: Cross multiply
    222,022.13x = 487,400.06 × 487,400.06
  4. Step 4: Simplify right side
    222,022.13x = 237,558,820,925.00
  5. Step 5: Solve for x
    x = 237,558,820,925.00/222,022.13
  6. Step 6: Final answer
    x = 1,069,978.14

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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.