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Finding the Third Proportional to 277,098.75 and 595,638

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Solution

The third proportional to 277,098.75 and 595,638 is: 1,280,354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,098.75 : 595,638 = 595,638 : x
  2. Step 2: Convert to fraction form
    277,098.75/595,638 = 595,638/x
  3. Step 3: Cross multiply
    277,098.75x = 595,638 × 595,638
  4. Step 4: Simplify right side
    277,098.75x = 354,784,627,044
  5. Step 5: Solve for x
    x = 354,784,627,044/277,098.75
  6. Step 6: Final answer
    x = 1,280,354.48

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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.