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Finding the Third Proportional to 364,086 and 798,156

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Solution

The third proportional to 364,086 and 798,156 is: 1,749,732.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,086 : 798,156 = 798,156 : x
  2. Step 2: Convert to fraction form
    364,086/798,156 = 798,156/x
  3. Step 3: Cross multiply
    364,086x = 798,156 × 798,156
  4. Step 4: Simplify right side
    364,086x = 637,053,000,336
  5. Step 5: Solve for x
    x = 637,053,000,336/364,086
  6. Step 6: Final answer
    x = 1,749,732.21

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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.