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Finding the Third Proportional to 262,566.50 and 576,190

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Solution

The third proportional to 262,566.50 and 576,190 is: 1,264,422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,566.50 : 576,190 = 576,190 : x
  2. Step 2: Convert to fraction form
    262,566.50/576,190 = 576,190/x
  3. Step 3: Cross multiply
    262,566.50x = 576,190 × 576,190
  4. Step 4: Simplify right side
    262,566.50x = 331,994,916,100
  5. Step 5: Solve for x
    x = 331,994,916,100/262,566.50
  6. Step 6: Final answer
    x = 1,264,422.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.