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Finding the Third Proportional to 393,450.75 and 597,870

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Solution

The third proportional to 393,450.75 and 597,870 is: 908,496.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,450.75 : 597,870 = 597,870 : x
  2. Step 2: Convert to fraction form
    393,450.75/597,870 = 597,870/x
  3. Step 3: Cross multiply
    393,450.75x = 597,870 × 597,870
  4. Step 4: Simplify right side
    393,450.75x = 357,448,536,900
  5. Step 5: Solve for x
    x = 357,448,536,900/393,450.75
  6. Step 6: Final answer
    x = 908,496.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.