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Finding the Third Proportional to 458,299.50 and 1,007,967

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Solution

The third proportional to 458,299.50 and 1,007,967 is: 2,216,885.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,299.50 : 1,007,967 = 1,007,967 : x
  2. Step 2: Convert to fraction form
    458,299.50/1,007,967 = 1,007,967/x
  3. Step 3: Cross multiply
    458,299.50x = 1,007,967 × 1,007,967
  4. Step 4: Simplify right side
    458,299.50x = 1,015,997,473,089
  5. Step 5: Solve for x
    x = 1,015,997,473,089/458,299.50
  6. Step 6: Final answer
    x = 2,216,885.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.