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Finding the Third Proportional to 228,207 and 488,074

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Solution

The third proportional to 228,207 and 488,074 is: 1,043,860.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,207 : 488,074 = 488,074 : x
  2. Step 2: Convert to fraction form
    228,207/488,074 = 488,074/x
  3. Step 3: Cross multiply
    228,207x = 488,074 × 488,074
  4. Step 4: Simplify right side
    228,207x = 238,216,229,476
  5. Step 5: Solve for x
    x = 238,216,229,476/228,207
  6. Step 6: Final answer
    x = 1,043,860.31

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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.