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Finding the Third Proportional to 428,920 and 630,892

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Solution

The third proportional to 428,920 and 630,892 is: 927,969.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,920 : 630,892 = 630,892 : x
  2. Step 2: Convert to fraction form
    428,920/630,892 = 630,892/x
  3. Step 3: Cross multiply
    428,920x = 630,892 × 630,892
  4. Step 4: Simplify right side
    428,920x = 398,024,715,664
  5. Step 5: Solve for x
    x = 398,024,715,664/428,920
  6. Step 6: Final answer
    x = 927,969.59

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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.