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Finding the Third Proportional to 219,157.88 and 475,683.75

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Solution

The third proportional to 219,157.88 and 475,683.75 is: 1,032,475.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,157.88 : 475,683.75 = 475,683.75 : x
  2. Step 2: Convert to fraction form
    219,157.88/475,683.75 = 475,683.75/x
  3. Step 3: Cross multiply
    219,157.88x = 475,683.75 × 475,683.75
  4. Step 4: Simplify right side
    219,157.88x = 226,275,030,014.06
  5. Step 5: Solve for x
    x = 226,275,030,014.06/219,157.88
  6. Step 6: Final answer
    x = 1,032,475.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.