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Finding the Third Proportional to 366,149,585 and 552,629,361

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Solution

The third proportional to 366,149,585 and 552,629,361 is: 834,083,181.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,149,585 : 552,629,361 = 552,629,361 : x
  2. Step 2: Convert to fraction form
    366,149,585/552,629,361 = 552,629,361/x
  3. Step 3: Cross multiply
    366,149,585x = 552,629,361 × 552,629,361
  4. Step 4: Simplify right side
    366,149,585x = 305,399,210,639,268,352
  5. Step 5: Solve for x
    x = 305,399,210,639,268,352/366,149,585
  6. Step 6: Final answer
    x = 834,083,181.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.