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Finding the Third Proportional to 305,976 and 654,052

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Solution

The third proportional to 305,976 and 654,052 is: 1,398,096.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,976 : 654,052 = 654,052 : x
  2. Step 2: Convert to fraction form
    305,976/654,052 = 654,052/x
  3. Step 3: Cross multiply
    305,976x = 654,052 × 654,052
  4. Step 4: Simplify right side
    305,976x = 427,784,018,704
  5. Step 5: Solve for x
    x = 427,784,018,704/305,976
  6. Step 6: Final answer
    x = 1,398,096.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.