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Finding the Third Proportional to 274,112,530 and 598,455,562

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Solution

The third proportional to 274,112,530 and 598,455,562 is: 1,306,576,754.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,112,530 : 598,455,562 = 598,455,562 : x
  2. Step 2: Convert to fraction form
    274,112,530/598,455,562 = 598,455,562/x
  3. Step 3: Cross multiply
    274,112,530x = 598,455,562 × 598,455,562
  4. Step 4: Simplify right side
    274,112,530x = 358,149,059,688,735,872
  5. Step 5: Solve for x
    x = 358,149,059,688,735,872/274,112,530
  6. Step 6: Final answer
    x = 1,306,576,754.04

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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.