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Finding the Third Proportional to 476,091 and 737,644.50

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Solution

The third proportional to 476,091 and 737,644.50 is: 1,142,889.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,091 : 737,644.50 = 737,644.50 : x
  2. Step 2: Convert to fraction form
    476,091/737,644.50 = 737,644.50/x
  3. Step 3: Cross multiply
    476,091x = 737,644.50 × 737,644.50
  4. Step 4: Simplify right side
    476,091x = 544,119,408,380.25
  5. Step 5: Solve for x
    x = 544,119,408,380.25/476,091
  6. Step 6: Final answer
    x = 1,142,889.51

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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.