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Finding the Third Proportional to 295,451 and 485,401.50

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Solution

The third proportional to 295,451 and 485,401.50 is: 797,474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,451 : 485,401.50 = 485,401.50 : x
  2. Step 2: Convert to fraction form
    295,451/485,401.50 = 485,401.50/x
  3. Step 3: Cross multiply
    295,451x = 485,401.50 × 485,401.50
  4. Step 4: Simplify right side
    295,451x = 235,614,616,202.25
  5. Step 5: Solve for x
    x = 235,614,616,202.25/295,451
  6. Step 6: Final answer
    x = 797,474.42

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.