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Finding the Third Proportional to 388,698.75 and 599,653.13

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Solution

The third proportional to 388,698.75 and 599,653.13 is: 925,096.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,698.75 : 599,653.13 = 599,653.13 : x
  2. Step 2: Convert to fraction form
    388,698.75/599,653.13 = 599,653.13/x
  3. Step 3: Cross multiply
    388,698.75x = 599,653.13 × 599,653.13
  4. Step 4: Simplify right side
    388,698.75x = 359,583,870,322.27
  5. Step 5: Solve for x
    x = 359,583,870,322.27/388,698.75
  6. Step 6: Final answer
    x = 925,096.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.