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Finding the Third Proportional to 529,704 and 1,147,506.75

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Solution

The third proportional to 529,704 and 1,147,506.75 is: 2,485,863.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,704 : 1,147,506.75 = 1,147,506.75 : x
  2. Step 2: Convert to fraction form
    529,704/1,147,506.75 = 1,147,506.75/x
  3. Step 3: Cross multiply
    529,704x = 1,147,506.75 × 1,147,506.75
  4. Step 4: Simplify right side
    529,704x = 1,316,771,741,295.56
  5. Step 5: Solve for x
    x = 1,316,771,741,295.56/529,704
  6. Step 6: Final answer
    x = 2,485,863.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.