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Finding the Third Proportional to 228,788 and 347,846

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Solution

The third proportional to 228,788 and 347,846 is: 528,860.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,788 : 347,846 = 347,846 : x
  2. Step 2: Convert to fraction form
    228,788/347,846 = 347,846/x
  3. Step 3: Cross multiply
    228,788x = 347,846 × 347,846
  4. Step 4: Simplify right side
    228,788x = 120,996,839,716
  5. Step 5: Solve for x
    x = 120,996,839,716/228,788
  6. Step 6: Final answer
    x = 528,860.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.