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Finding the Third Proportional to 458,014.50 and 994,801.50

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Solution

The third proportional to 458,014.50 and 994,801.50 is: 2,160,695.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,014.50 : 994,801.50 = 994,801.50 : x
  2. Step 2: Convert to fraction form
    458,014.50/994,801.50 = 994,801.50/x
  3. Step 3: Cross multiply
    458,014.50x = 994,801.50 × 994,801.50
  4. Step 4: Simplify right side
    458,014.50x = 989,630,024,402.25
  5. Step 5: Solve for x
    x = 989,630,024,402.25/458,014.50
  6. Step 6: Final answer
    x = 2,160,695.84

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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.