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Finding the Third Proportional to 262,990.50 and 384,643.50

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Solution

The third proportional to 262,990.50 and 384,643.50 is: 562,570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,990.50 : 384,643.50 = 384,643.50 : x
  2. Step 2: Convert to fraction form
    262,990.50/384,643.50 = 384,643.50/x
  3. Step 3: Cross multiply
    262,990.50x = 384,643.50 × 384,643.50
  4. Step 4: Simplify right side
    262,990.50x = 147,950,622,092.25
  5. Step 5: Solve for x
    x = 147,950,622,092.25/262,990.50
  6. Step 6: Final answer
    x = 562,570.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.