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Finding the Third Proportional to 291,133 and 444,473.50

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Solution

The third proportional to 291,133 and 444,473.50 is: 678,578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,133 : 444,473.50 = 444,473.50 : x
  2. Step 2: Convert to fraction form
    291,133/444,473.50 = 444,473.50/x
  3. Step 3: Cross multiply
    291,133x = 444,473.50 × 444,473.50
  4. Step 4: Simplify right side
    291,133x = 197,556,692,202.25
  5. Step 5: Solve for x
    x = 197,556,692,202.25/291,133
  6. Step 6: Final answer
    x = 678,578.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.