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Finding the Third Proportional to 728,104.50 and 1,139,683.50

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Solution

The third proportional to 728,104.50 and 1,139,683.50 is: 1,783,917.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,104.50 : 1,139,683.50 = 1,139,683.50 : x
  2. Step 2: Convert to fraction form
    728,104.50/1,139,683.50 = 1,139,683.50/x
  3. Step 3: Cross multiply
    728,104.50x = 1,139,683.50 × 1,139,683.50
  4. Step 4: Simplify right side
    728,104.50x = 1,298,878,480,172.25
  5. Step 5: Solve for x
    x = 1,298,878,480,172.25/728,104.50
  6. Step 6: Final answer
    x = 1,783,917.67

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.