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Finding the Third Proportional to 449,194.75 and 660,656.50

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Solution

The third proportional to 449,194.75 and 660,656.50 is: 971,665.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,194.75 : 660,656.50 = 660,656.50 : x
  2. Step 2: Convert to fraction form
    449,194.75/660,656.50 = 660,656.50/x
  3. Step 3: Cross multiply
    449,194.75x = 660,656.50 × 660,656.50
  4. Step 4: Simplify right side
    449,194.75x = 436,467,010,992.25
  5. Step 5: Solve for x
    x = 436,467,010,992.25/449,194.75
  6. Step 6: Final answer
    x = 971,665.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.