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Finding the Third Proportional to 503,160 and 747,876

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Solution

The third proportional to 503,160 and 747,876 is: 1,111,611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,160 : 747,876 = 747,876 : x
  2. Step 2: Convert to fraction form
    503,160/747,876 = 747,876/x
  3. Step 3: Cross multiply
    503,160x = 747,876 × 747,876
  4. Step 4: Simplify right side
    503,160x = 559,318,511,376
  5. Step 5: Solve for x
    x = 559,318,511,376/503,160
  6. Step 6: Final answer
    x = 1,111,611.64

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Why These Related Problems?

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