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Finding the Third Proportional to 744,040.25 and 1,047,777.50

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Solution

The third proportional to 744,040.25 and 1,047,777.50 is: 1,475,508.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,040.25 : 1,047,777.50 = 1,047,777.50 : x
  2. Step 2: Convert to fraction form
    744,040.25/1,047,777.50 = 1,047,777.50/x
  3. Step 3: Cross multiply
    744,040.25x = 1,047,777.50 × 1,047,777.50
  4. Step 4: Simplify right side
    744,040.25x = 1,097,837,689,506.25
  5. Step 5: Solve for x
    x = 1,097,837,689,506.25/744,040.25
  6. Step 6: Final answer
    x = 1,475,508.47

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.