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Finding the Third Proportional to 437,800 and 958,638.50

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Solution

The third proportional to 437,800 and 958,638.50 is: 2,099,104.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,800 : 958,638.50 = 958,638.50 : x
  2. Step 2: Convert to fraction form
    437,800/958,638.50 = 958,638.50/x
  3. Step 3: Cross multiply
    437,800x = 958,638.50 × 958,638.50
  4. Step 4: Simplify right side
    437,800x = 918,987,773,682.25
  5. Step 5: Solve for x
    x = 918,987,773,682.25/437,800
  6. Step 6: Final answer
    x = 2,099,104.10

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.