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Finding the Third Proportional to 277,856 and 607,086

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Solution

The third proportional to 277,856 and 607,086 is: 1,326,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,856 : 607,086 = 607,086 : x
  2. Step 2: Convert to fraction form
    277,856/607,086 = 607,086/x
  3. Step 3: Cross multiply
    277,856x = 607,086 × 607,086
  4. Step 4: Simplify right side
    277,856x = 368,553,411,396
  5. Step 5: Solve for x
    x = 368,553,411,396/277,856
  6. Step 6: Final answer
    x = 1,326,418.76

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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.