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Finding the Third Proportional to 370,986 and 556,231.50

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Solution

The third proportional to 370,986 and 556,231.50 is: 833,976.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,986 : 556,231.50 = 556,231.50 : x
  2. Step 2: Convert to fraction form
    370,986/556,231.50 = 556,231.50/x
  3. Step 3: Cross multiply
    370,986x = 556,231.50 × 556,231.50
  4. Step 4: Simplify right side
    370,986x = 309,393,481,592.25
  5. Step 5: Solve for x
    x = 309,393,481,592.25/370,986
  6. Step 6: Final answer
    x = 833,976.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.