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Finding the Third Proportional to 474,615 and 732,874.50

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Solution

The third proportional to 474,615 and 732,874.50 is: 1,131,664.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,615 : 732,874.50 = 732,874.50 : x
  2. Step 2: Convert to fraction form
    474,615/732,874.50 = 732,874.50/x
  3. Step 3: Cross multiply
    474,615x = 732,874.50 × 732,874.50
  4. Step 4: Simplify right side
    474,615x = 537,105,032,750.25
  5. Step 5: Solve for x
    x = 537,105,032,750.25/474,615
  6. Step 6: Final answer
    x = 1,131,664.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.