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Finding the Third Proportional to 262,521 and 388,246.50

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Solution

The third proportional to 262,521 and 388,246.50 is: 574,183.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,521 : 388,246.50 = 388,246.50 : x
  2. Step 2: Convert to fraction form
    262,521/388,246.50 = 388,246.50/x
  3. Step 3: Cross multiply
    262,521x = 388,246.50 × 388,246.50
  4. Step 4: Simplify right side
    262,521x = 150,735,344,762.25
  5. Step 5: Solve for x
    x = 150,735,344,762.25/262,521
  6. Step 6: Final answer
    x = 574,183.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.