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Finding the Third Proportional to 274,639.36 and 437,024.11

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Solution

The third proportional to 274,639.36 and 437,024.11 is: 695,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,639.36 : 437,024.11 = 437,024.11 : x
  2. Step 2: Convert to fraction form
    274,639.36/437,024.11 = 437,024.11/x
  3. Step 3: Cross multiply
    274,639.36x = 437,024.11 × 437,024.11
  4. Step 4: Simplify right side
    274,639.36x = 190,990,072,175.01
  5. Step 5: Solve for x
    x = 190,990,072,175.01/274,639.36
  6. Step 6: Final answer
    x = 695,421.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.