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Finding the Third Proportional to 463,370.63 and 1,082,565

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Solution

The third proportional to 463,370.63 and 1,082,565 is: 2,529,178.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,370.63 : 1,082,565 = 1,082,565 : x
  2. Step 2: Convert to fraction form
    463,370.63/1,082,565 = 1,082,565/x
  3. Step 3: Cross multiply
    463,370.63x = 1,082,565 × 1,082,565
  4. Step 4: Simplify right side
    463,370.63x = 1,171,946,979,225
  5. Step 5: Solve for x
    x = 1,171,946,979,225/463,370.63
  6. Step 6: Final answer
    x = 2,529,178.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.