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Finding the Third Proportional to 363,550 and 849,097

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Solution

The third proportional to 363,550 and 849,097 is: 1,983,126.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,550 : 849,097 = 849,097 : x
  2. Step 2: Convert to fraction form
    363,550/849,097 = 849,097/x
  3. Step 3: Cross multiply
    363,550x = 849,097 × 849,097
  4. Step 4: Simplify right side
    363,550x = 720,965,715,409
  5. Step 5: Solve for x
    x = 720,965,715,409/363,550
  6. Step 6: Final answer
    x = 1,983,126.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.