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Finding the Third Proportional to 428,914 and 630,883

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Solution

The third proportional to 428,914 and 630,883 is: 927,956.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,914 : 630,883 = 630,883 : x
  2. Step 2: Convert to fraction form
    428,914/630,883 = 630,883/x
  3. Step 3: Cross multiply
    428,914x = 630,883 × 630,883
  4. Step 4: Simplify right side
    428,914x = 398,013,359,689
  5. Step 5: Solve for x
    x = 398,013,359,689/428,914
  6. Step 6: Final answer
    x = 927,956.09

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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.