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Finding the Third Proportional to 364,078 and 798,138

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Solution

The third proportional to 364,078 and 798,138 is: 1,749,691.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,078 : 798,138 = 798,138 : x
  2. Step 2: Convert to fraction form
    364,078/798,138 = 798,138/x
  3. Step 3: Cross multiply
    364,078x = 798,138 × 798,138
  4. Step 4: Simplify right side
    364,078x = 637,024,267,044
  5. Step 5: Solve for x
    x = 637,024,267,044/364,078
  6. Step 6: Final answer
    x = 1,749,691.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.