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Finding the Third Proportional to 277,038 and 597,816

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Solution

The third proportional to 277,038 and 597,816 is: 1,290,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,038 : 597,816 = 597,816 : x
  2. Step 2: Convert to fraction form
    277,038/597,816 = 597,816/x
  3. Step 3: Cross multiply
    277,038x = 597,816 × 597,816
  4. Step 4: Simplify right side
    277,038x = 357,383,969,856
  5. Step 5: Solve for x
    x = 357,383,969,856/277,038
  6. Step 6: Final answer
    x = 1,290,017.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.