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Finding the Third Proportional to 358,722 and 538,933.50

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Solution

The third proportional to 358,722 and 538,933.50 is: 809,678.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,722 : 538,933.50 = 538,933.50 : x
  2. Step 2: Convert to fraction form
    358,722/538,933.50 = 538,933.50/x
  3. Step 3: Cross multiply
    358,722x = 538,933.50 × 538,933.50
  4. Step 4: Simplify right side
    358,722x = 290,449,317,422.25
  5. Step 5: Solve for x
    x = 290,449,317,422.25/358,722
  6. Step 6: Final answer
    x = 809,678.02

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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.