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Finding the Third Proportional to 430,296.75 and 936,591.75

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Solution

The third proportional to 430,296.75 and 936,591.75 is: 2,038,602.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,296.75 : 936,591.75 = 936,591.75 : x
  2. Step 2: Convert to fraction form
    430,296.75/936,591.75 = 936,591.75/x
  3. Step 3: Cross multiply
    430,296.75x = 936,591.75 × 936,591.75
  4. Step 4: Simplify right side
    430,296.75x = 877,204,106,168.06
  5. Step 5: Solve for x
    x = 877,204,106,168.06/430,296.75
  6. Step 6: Final answer
    x = 2,038,602.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.