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Finding the Third Proportional to 634,450.50 and 983,034

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Solution

The third proportional to 634,450.50 and 983,034 is: 1,523,138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,450.50 : 983,034 = 983,034 : x
  2. Step 2: Convert to fraction form
    634,450.50/983,034 = 983,034/x
  3. Step 3: Cross multiply
    634,450.50x = 983,034 × 983,034
  4. Step 4: Simplify right side
    634,450.50x = 966,355,845,156
  5. Step 5: Solve for x
    x = 966,355,845,156/634,450.50
  6. Step 6: Final answer
    x = 1,523,138.28

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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.