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Finding the Third Proportional to 315,174.19 and 471,647.34

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Solution

The third proportional to 315,174.19 and 471,647.34 is: 705,804.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,174.19 : 471,647.34 = 471,647.34 : x
  2. Step 2: Convert to fraction form
    315,174.19/471,647.34 = 471,647.34/x
  3. Step 3: Cross multiply
    315,174.19x = 471,647.34 × 471,647.34
  4. Step 4: Simplify right side
    315,174.19x = 222,451,216,866.43
  5. Step 5: Solve for x
    x = 222,451,216,866.43/315,174.19
  6. Step 6: Final answer
    x = 705,804.05

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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.