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Finding the Third Proportional to 376,653 and 587,821.50

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Solution

The third proportional to 376,653 and 587,821.50 is: 917,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,653 : 587,821.50 = 587,821.50 : x
  2. Step 2: Convert to fraction form
    376,653/587,821.50 = 587,821.50/x
  3. Step 3: Cross multiply
    376,653x = 587,821.50 × 587,821.50
  4. Step 4: Simplify right side
    376,653x = 345,534,115,862.25
  5. Step 5: Solve for x
    x = 345,534,115,862.25/376,653
  6. Step 6: Final answer
    x = 917,380.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.