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Finding the Third Proportional to 366,438,530 and 798,720,340

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Solution

The third proportional to 366,438,530 and 798,720,340 is: 1,740,958,248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,438,530 : 798,720,340 = 798,720,340 : x
  2. Step 2: Convert to fraction form
    366,438,530/798,720,340 = 798,720,340/x
  3. Step 3: Cross multiply
    366,438,530x = 798,720,340 × 798,720,340
  4. Step 4: Simplify right side
    366,438,530x = 637,954,181,529,715,584
  5. Step 5: Solve for x
    x = 637,954,181,529,715,584/366,438,530
  6. Step 6: Final answer
    x = 1,740,958,248.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.