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Finding the Third Proportional to 274,225.50 and 597,658.50

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Solution

The third proportional to 274,225.50 and 597,658.50 is: 1,302,561.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,225.50 : 597,658.50 = 597,658.50 : x
  2. Step 2: Convert to fraction form
    274,225.50/597,658.50 = 597,658.50/x
  3. Step 3: Cross multiply
    274,225.50x = 597,658.50 × 597,658.50
  4. Step 4: Simplify right side
    274,225.50x = 357,195,682,622.25
  5. Step 5: Solve for x
    x = 357,195,682,622.25/274,225.50
  6. Step 6: Final answer
    x = 1,302,561.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.