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Finding the Third Proportional to 341,280.94 and 740,574.56

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Solution

The third proportional to 341,280.94 and 740,574.56 is: 1,607,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,280.94 : 740,574.56 = 740,574.56 : x
  2. Step 2: Convert to fraction form
    341,280.94/740,574.56 = 740,574.56/x
  3. Step 3: Cross multiply
    341,280.94x = 740,574.56 × 740,574.56
  4. Step 4: Simplify right side
    341,280.94x = 548,450,682,622.07
  5. Step 5: Solve for x
    x = 548,450,682,622.07/341,280.94
  6. Step 6: Final answer
    x = 1,607,035.79

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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.