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Finding the Third Proportional to 415,644.75 and 669,367.13

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Solution

The third proportional to 415,644.75 and 669,367.13 is: 1,077,969.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,644.75 : 669,367.13 = 669,367.13 : x
  2. Step 2: Convert to fraction form
    415,644.75/669,367.13 = 669,367.13/x
  3. Step 3: Cross multiply
    415,644.75x = 669,367.13 × 669,367.13
  4. Step 4: Simplify right side
    415,644.75x = 448,052,348,030.77
  5. Step 5: Solve for x
    x = 448,052,348,030.77/415,644.75
  6. Step 6: Final answer
    x = 1,077,969.46

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.