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Finding the Third Proportional to 348,093 and 538,532

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Solution

The third proportional to 348,093 and 538,532 is: 833,158.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,093 : 538,532 = 538,532 : x
  2. Step 2: Convert to fraction form
    348,093/538,532 = 538,532/x
  3. Step 3: Cross multiply
    348,093x = 538,532 × 538,532
  4. Step 4: Simplify right side
    348,093x = 290,016,715,024
  5. Step 5: Solve for x
    x = 290,016,715,024/348,093
  6. Step 6: Final answer
    x = 833,158.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.