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Finding the Third Proportional to 223,476.75 and 488,730.75

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Solution

The third proportional to 223,476.75 and 488,730.75 is: 1,068,825.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,476.75 : 488,730.75 = 488,730.75 : x
  2. Step 2: Convert to fraction form
    223,476.75/488,730.75 = 488,730.75/x
  3. Step 3: Cross multiply
    223,476.75x = 488,730.75 × 488,730.75
  4. Step 4: Simplify right side
    223,476.75x = 238,857,745,995.56
  5. Step 5: Solve for x
    x = 238,857,745,995.56/223,476.75
  6. Step 6: Final answer
    x = 1,068,825.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.