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Finding the Third Proportional to 427,011 and 988,423.50

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Solution

The third proportional to 427,011 and 988,423.50 is: 2,287,952.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,011 : 988,423.50 = 988,423.50 : x
  2. Step 2: Convert to fraction form
    427,011/988,423.50 = 988,423.50/x
  3. Step 3: Cross multiply
    427,011x = 988,423.50 × 988,423.50
  4. Step 4: Simplify right side
    427,011x = 976,981,015,352.25
  5. Step 5: Solve for x
    x = 976,981,015,352.25/427,011
  6. Step 6: Final answer
    x = 2,287,952.81

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.