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Finding the Third Proportional to 228,204.84 and 488,069.30

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Solution

The third proportional to 228,204.84 and 488,069.30 is: 1,043,850.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,204.84 : 488,069.30 = 488,069.30 : x
  2. Step 2: Convert to fraction form
    228,204.84/488,069.30 = 488,069.30/x
  3. Step 3: Cross multiply
    228,204.84x = 488,069.30 × 488,069.30
  4. Step 4: Simplify right side
    228,204.84x = 238,211,638,552.06
  5. Step 5: Solve for x
    x = 238,211,638,552.06/228,204.84
  6. Step 6: Final answer
    x = 1,043,850.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.