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Finding the Third Proportional to 437,787 and 629,032.50

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Solution

The third proportional to 437,787 and 629,032.50 is: 903,822.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,787 : 629,032.50 = 629,032.50 : x
  2. Step 2: Convert to fraction form
    437,787/629,032.50 = 629,032.50/x
  3. Step 3: Cross multiply
    437,787x = 629,032.50 × 629,032.50
  4. Step 4: Simplify right side
    437,787x = 395,681,886,056.25
  5. Step 5: Solve for x
    x = 395,681,886,056.25/437,787
  6. Step 6: Final answer
    x = 903,822.83

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.