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Finding the Third Proportional to 616,861.50 and 920,158

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Solution

The third proportional to 616,861.50 and 920,158 is: 1,372,578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,861.50 : 920,158 = 920,158 : x
  2. Step 2: Convert to fraction form
    616,861.50/920,158 = 920,158/x
  3. Step 3: Cross multiply
    616,861.50x = 920,158 × 920,158
  4. Step 4: Simplify right side
    616,861.50x = 846,690,744,964
  5. Step 5: Solve for x
    x = 846,690,744,964/616,861.50
  6. Step 6: Final answer
    x = 1,372,578.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.