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Finding the Third Proportional to 295,437.75 and 430,236.75

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Solution

The third proportional to 295,437.75 and 430,236.75 is: 626,540.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,437.75 : 430,236.75 = 430,236.75 : x
  2. Step 2: Convert to fraction form
    295,437.75/430,236.75 = 430,236.75/x
  3. Step 3: Cross multiply
    295,437.75x = 430,236.75 × 430,236.75
  4. Step 4: Simplify right side
    295,437.75x = 185,103,661,050.56
  5. Step 5: Solve for x
    x = 185,103,661,050.56/295,437.75
  6. Step 6: Final answer
    x = 626,540.32

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.