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Finding the Third Proportional to 437,967 and 830,137.50

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Solution

The third proportional to 437,967 and 830,137.50 is: 1,573,470.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,967 : 830,137.50 = 830,137.50 : x
  2. Step 2: Convert to fraction form
    437,967/830,137.50 = 830,137.50/x
  3. Step 3: Cross multiply
    437,967x = 830,137.50 × 830,137.50
  4. Step 4: Simplify right side
    437,967x = 689,128,268,906.25
  5. Step 5: Solve for x
    x = 689,128,268,906.25/437,967
  6. Step 6: Final answer
    x = 1,573,470.76

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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.