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Finding the Third Proportional to 474,615 and 735,097.50

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Solution

The third proportional to 474,615 and 735,097.50 is: 1,138,540.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,615 : 735,097.50 = 735,097.50 : x
  2. Step 2: Convert to fraction form
    474,615/735,097.50 = 735,097.50/x
  3. Step 3: Cross multiply
    474,615x = 735,097.50 × 735,097.50
  4. Step 4: Simplify right side
    474,615x = 540,368,334,506.25
  5. Step 5: Solve for x
    x = 540,368,334,506.25/474,615
  6. Step 6: Final answer
    x = 1,138,540.36

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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.