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Finding the Third Proportional to 428,916 and 630,886

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Solution

The third proportional to 428,916 and 630,886 is: 927,960.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,916 : 630,886 = 630,886 : x
  2. Step 2: Convert to fraction form
    428,916/630,886 = 630,886/x
  3. Step 3: Cross multiply
    428,916x = 630,886 × 630,886
  4. Step 4: Simplify right side
    428,916x = 398,017,144,996
  5. Step 5: Solve for x
    x = 398,017,144,996/428,916
  6. Step 6: Final answer
    x = 927,960.59

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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.