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Finding the Third Proportional to 277,857 and 607,089

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Solution

The third proportional to 277,857 and 607,089 is: 1,326,427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,857 : 607,089 = 607,089 : x
  2. Step 2: Convert to fraction form
    277,857/607,089 = 607,089/x
  3. Step 3: Cross multiply
    277,857x = 607,089 × 607,089
  4. Step 4: Simplify right side
    277,857x = 368,557,053,921
  5. Step 5: Solve for x
    x = 368,557,053,921/277,857
  6. Step 6: Final answer
    x = 1,326,427.10

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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.