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Finding the Third Proportional to 313,826 and 471,444

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Solution

The third proportional to 313,826 and 471,444 is: 708,225.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,826 : 471,444 = 471,444 : x
  2. Step 2: Convert to fraction form
    313,826/471,444 = 471,444/x
  3. Step 3: Cross multiply
    313,826x = 471,444 × 471,444
  4. Step 4: Simplify right side
    313,826x = 222,259,445,136
  5. Step 5: Solve for x
    x = 222,259,445,136/313,826
  6. Step 6: Final answer
    x = 708,225.08

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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.