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Finding the Third Proportional to 275,718.50 and 597,240

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Solution

The third proportional to 275,718.50 and 597,240 is: 1,293,694.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,718.50 : 597,240 = 597,240 : x
  2. Step 2: Convert to fraction form
    275,718.50/597,240 = 597,240/x
  3. Step 3: Cross multiply
    275,718.50x = 597,240 × 597,240
  4. Step 4: Simplify right side
    275,718.50x = 356,695,617,600
  5. Step 5: Solve for x
    x = 356,695,617,600/275,718.50
  6. Step 6: Final answer
    x = 1,293,694.90

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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.