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Finding the Third Proportional to 664,155 and 1,037,704.50

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Solution

The third proportional to 664,155 and 1,037,704.50 is: 1,621,354.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,155 : 1,037,704.50 = 1,037,704.50 : x
  2. Step 2: Convert to fraction form
    664,155/1,037,704.50 = 1,037,704.50/x
  3. Step 3: Cross multiply
    664,155x = 1,037,704.50 × 1,037,704.50
  4. Step 4: Simplify right side
    664,155x = 1,076,830,629,320.25
  5. Step 5: Solve for x
    x = 1,076,830,629,320.25/664,155
  6. Step 6: Final answer
    x = 1,621,354.40

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.