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Finding the Third Proportional to 486,006 and 735,704.50

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Solution

The third proportional to 486,006 and 735,704.50 is: 1,113,692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,006 : 735,704.50 = 735,704.50 : x
  2. Step 2: Convert to fraction form
    486,006/735,704.50 = 735,704.50/x
  3. Step 3: Cross multiply
    486,006x = 735,704.50 × 735,704.50
  4. Step 4: Simplify right side
    486,006x = 541,261,111,320.25
  5. Step 5: Solve for x
    x = 541,261,111,320.25/486,006
  6. Step 6: Final answer
    x = 1,113,692.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.