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Finding the Third Proportional to 339,651.75 and 719,763

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Solution

The third proportional to 339,651.75 and 719,763 is: 1,525,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,651.75 : 719,763 = 719,763 : x
  2. Step 2: Convert to fraction form
    339,651.75/719,763 = 719,763/x
  3. Step 3: Cross multiply
    339,651.75x = 719,763 × 719,763
  4. Step 4: Simplify right side
    339,651.75x = 518,058,776,169
  5. Step 5: Solve for x
    x = 518,058,776,169/339,651.75
  6. Step 6: Final answer
    x = 1,525,264.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.