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Finding the Third Proportional to 503,019.50 and 785,147

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Solution

The third proportional to 503,019.50 and 785,147 is: 1,225,510.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,019.50 : 785,147 = 785,147 : x
  2. Step 2: Convert to fraction form
    503,019.50/785,147 = 785,147/x
  3. Step 3: Cross multiply
    503,019.50x = 785,147 × 785,147
  4. Step 4: Simplify right side
    503,019.50x = 616,455,811,609
  5. Step 5: Solve for x
    x = 616,455,811,609/503,019.50
  6. Step 6: Final answer
    x = 1,225,510.76

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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.