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Finding the Third Proportional to 533,246.63 and 754,525.13

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Solution

The third proportional to 533,246.63 and 754,525.13 is: 1,067,626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,246.63 : 754,525.13 = 754,525.13 : x
  2. Step 2: Convert to fraction form
    533,246.63/754,525.13 = 754,525.13/x
  3. Step 3: Cross multiply
    533,246.63x = 754,525.13 × 754,525.13
  4. Step 4: Simplify right side
    533,246.63x = 569,308,164,256.27
  5. Step 5: Solve for x
    x = 569,308,164,256.27/533,246.63
  6. Step 6: Final answer
    x = 1,067,626.38

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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.