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Finding the Third Proportional to 325,706 and 704,116

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Solution

The third proportional to 325,706 and 704,116 is: 1,522,168.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,706 : 704,116 = 704,116 : x
  2. Step 2: Convert to fraction form
    325,706/704,116 = 704,116/x
  3. Step 3: Cross multiply
    325,706x = 704,116 × 704,116
  4. Step 4: Simplify right side
    325,706x = 495,779,341,456
  5. Step 5: Solve for x
    x = 495,779,341,456/325,706
  6. Step 6: Final answer
    x = 1,522,168.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.