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Finding the Third Proportional to 277,852 and 607,079

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Solution

The third proportional to 277,852 and 607,079 is: 1,326,407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,852 : 607,079 = 607,079 : x
  2. Step 2: Convert to fraction form
    277,852/607,079 = 607,079/x
  3. Step 3: Cross multiply
    277,852x = 607,079 × 607,079
  4. Step 4: Simplify right side
    277,852x = 368,544,912,241
  5. Step 5: Solve for x
    x = 368,544,912,241/277,852
  6. Step 6: Final answer
    x = 1,326,407.27

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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.