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Finding the Third Proportional to 399,570 and 603,499.50

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Solution

The third proportional to 399,570 and 603,499.50 is: 911,508.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,570 : 603,499.50 = 603,499.50 : x
  2. Step 2: Convert to fraction form
    399,570/603,499.50 = 603,499.50/x
  3. Step 3: Cross multiply
    399,570x = 603,499.50 × 603,499.50
  4. Step 4: Simplify right side
    399,570x = 364,211,646,500.25
  5. Step 5: Solve for x
    x = 364,211,646,500.25/399,570
  6. Step 6: Final answer
    x = 911,508.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.