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Finding the Third Proportional to 399,243 and 600,484.50

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Solution

The third proportional to 399,243 and 600,484.50 is: 903,163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,243 : 600,484.50 = 600,484.50 : x
  2. Step 2: Convert to fraction form
    399,243/600,484.50 = 600,484.50/x
  3. Step 3: Cross multiply
    399,243x = 600,484.50 × 600,484.50
  4. Step 4: Simplify right side
    399,243x = 360,581,634,740.25
  5. Step 5: Solve for x
    x = 360,581,634,740.25/399,243
  6. Step 6: Final answer
    x = 903,163.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.