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Finding the Third Proportional to 421,948 and 633,006

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Solution

The third proportional to 421,948 and 633,006 is: 949,635.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,948 : 633,006 = 633,006 : x
  2. Step 2: Convert to fraction form
    421,948/633,006 = 633,006/x
  3. Step 3: Cross multiply
    421,948x = 633,006 × 633,006
  4. Step 4: Simplify right side
    421,948x = 400,696,596,036
  5. Step 5: Solve for x
    x = 400,696,596,036/421,948
  6. Step 6: Final answer
    x = 949,635.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.