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Finding the Third Proportional to 449,968.50 and 632,851.50

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Solution

The third proportional to 449,968.50 and 632,851.50 is: 890,064.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,968.50 : 632,851.50 = 632,851.50 : x
  2. Step 2: Convert to fraction form
    449,968.50/632,851.50 = 632,851.50/x
  3. Step 3: Cross multiply
    449,968.50x = 632,851.50 × 632,851.50
  4. Step 4: Simplify right side
    449,968.50x = 400,501,021,052.25
  5. Step 5: Solve for x
    x = 400,501,021,052.25/449,968.50
  6. Step 6: Final answer
    x = 890,064.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.