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Finding the Third Proportional to 228,350 and 351,417

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Solution

The third proportional to 228,350 and 351,417 is: 540,809.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,350 : 351,417 = 351,417 : x
  2. Step 2: Convert to fraction form
    228,350/351,417 = 351,417/x
  3. Step 3: Cross multiply
    228,350x = 351,417 × 351,417
  4. Step 4: Simplify right side
    228,350x = 123,493,907,889
  5. Step 5: Solve for x
    x = 123,493,907,889/228,350
  6. Step 6: Final answer
    x = 540,809.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.