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Finding the Third Proportional to 503,119 and 752,683.50

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Solution

The third proportional to 503,119 and 752,683.50 is: 1,126,040.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,119 : 752,683.50 = 752,683.50 : x
  2. Step 2: Convert to fraction form
    503,119/752,683.50 = 752,683.50/x
  3. Step 3: Cross multiply
    503,119x = 752,683.50 × 752,683.50
  4. Step 4: Simplify right side
    503,119x = 566,532,451,172.25
  5. Step 5: Solve for x
    x = 566,532,451,172.25/503,119
  6. Step 6: Final answer
    x = 1,126,040.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.