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Finding the Third Proportional to 634,361.63 and 971,635.50

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Solution

The third proportional to 634,361.63 and 971,635.50 is: 1,488,229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,361.63 : 971,635.50 = 971,635.50 : x
  2. Step 2: Convert to fraction form
    634,361.63/971,635.50 = 971,635.50/x
  3. Step 3: Cross multiply
    634,361.63x = 971,635.50 × 971,635.50
  4. Step 4: Simplify right side
    634,361.63x = 944,075,544,860.25
  5. Step 5: Solve for x
    x = 944,075,544,860.25/634,361.63
  6. Step 6: Final answer
    x = 1,488,229.28

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.