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Finding the Third Proportional to 277,886 and 597,904

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Solution

The third proportional to 277,886 and 597,904 is: 1,286,459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,886 : 597,904 = 597,904 : x
  2. Step 2: Convert to fraction form
    277,886/597,904 = 597,904/x
  3. Step 3: Cross multiply
    277,886x = 597,904 × 597,904
  4. Step 4: Simplify right side
    277,886x = 357,489,193,216
  5. Step 5: Solve for x
    x = 357,489,193,216/277,886
  6. Step 6: Final answer
    x = 1,286,459.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.