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Finding the Third Proportional to 402,295.50 and 863,005.50

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Solution

The third proportional to 402,295.50 and 863,005.50 is: 1,851,321.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,295.50 : 863,005.50 = 863,005.50 : x
  2. Step 2: Convert to fraction form
    402,295.50/863,005.50 = 863,005.50/x
  3. Step 3: Cross multiply
    402,295.50x = 863,005.50 × 863,005.50
  4. Step 4: Simplify right side
    402,295.50x = 744,778,493,030.25
  5. Step 5: Solve for x
    x = 744,778,493,030.25/402,295.50
  6. Step 6: Final answer
    x = 1,851,321.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.