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Finding the Third Proportional to 428,859 and 630,814.50

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Solution

The third proportional to 428,859 and 630,814.50 is: 927,873.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,859 : 630,814.50 = 630,814.50 : x
  2. Step 2: Convert to fraction form
    428,859/630,814.50 = 630,814.50/x
  3. Step 3: Cross multiply
    428,859x = 630,814.50 × 630,814.50
  4. Step 4: Simplify right side
    428,859x = 397,926,933,410.25
  5. Step 5: Solve for x
    x = 397,926,933,410.25/428,859
  6. Step 6: Final answer
    x = 927,873.57

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.