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Finding the Third Proportional to 275,347.50 and 402,450.75

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Solution

The third proportional to 275,347.50 and 402,450.75 is: 588,226.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,347.50 : 402,450.75 = 402,450.75 : x
  2. Step 2: Convert to fraction form
    275,347.50/402,450.75 = 402,450.75/x
  3. Step 3: Cross multiply
    275,347.50x = 402,450.75 × 402,450.75
  4. Step 4: Simplify right side
    275,347.50x = 161,966,606,175.56
  5. Step 5: Solve for x
    x = 161,966,606,175.56/275,347.50
  6. Step 6: Final answer
    x = 588,226.17

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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.