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Finding the Third Proportional to 428,875 and 630,836

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Solution

The third proportional to 428,875 and 630,836 is: 927,902.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,875 : 630,836 = 630,836 : x
  2. Step 2: Convert to fraction form
    428,875/630,836 = 630,836/x
  3. Step 3: Cross multiply
    428,875x = 630,836 × 630,836
  4. Step 4: Simplify right side
    428,875x = 397,954,058,896
  5. Step 5: Solve for x
    x = 397,954,058,896/428,875
  6. Step 6: Final answer
    x = 927,902.21

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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.