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Finding the Third Proportional to 572,746.50 and 1,131,037.50

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Solution

The third proportional to 572,746.50 and 1,131,037.50 is: 2,233,528.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,746.50 : 1,131,037.50 = 1,131,037.50 : x
  2. Step 2: Convert to fraction form
    572,746.50/1,131,037.50 = 1,131,037.50/x
  3. Step 3: Cross multiply
    572,746.50x = 1,131,037.50 × 1,131,037.50
  4. Step 4: Simplify right side
    572,746.50x = 1,279,245,826,406.25
  5. Step 5: Solve for x
    x = 1,279,245,826,406.25/572,746.50
  6. Step 6: Final answer
    x = 2,233,528.84

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.