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Finding the Third Proportional to 376,023.50 and 617,272.50

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Solution

The third proportional to 376,023.50 and 617,272.50 is: 1,013,301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,023.50 : 617,272.50 = 617,272.50 : x
  2. Step 2: Convert to fraction form
    376,023.50/617,272.50 = 617,272.50/x
  3. Step 3: Cross multiply
    376,023.50x = 617,272.50 × 617,272.50
  4. Step 4: Simplify right side
    376,023.50x = 381,025,339,256.25
  5. Step 5: Solve for x
    x = 381,025,339,256.25/376,023.50
  6. Step 6: Final answer
    x = 1,013,301.93

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.