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Finding the Third Proportional to 601,947 and 935,059.50

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Solution

The third proportional to 601,947 and 935,059.50 is: 1,452,513.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,947 : 935,059.50 = 935,059.50 : x
  2. Step 2: Convert to fraction form
    601,947/935,059.50 = 935,059.50/x
  3. Step 3: Cross multiply
    601,947x = 935,059.50 × 935,059.50
  4. Step 4: Simplify right side
    601,947x = 874,336,268,540.25
  5. Step 5: Solve for x
    x = 874,336,268,540.25/601,947
  6. Step 6: Final answer
    x = 1,452,513.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.