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Finding the Third Proportional to 451,657 and 660,524.50

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Solution

The third proportional to 451,657 and 660,524.50 is: 965,982.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,657 : 660,524.50 = 660,524.50 : x
  2. Step 2: Convert to fraction form
    451,657/660,524.50 = 660,524.50/x
  3. Step 3: Cross multiply
    451,657x = 660,524.50 × 660,524.50
  4. Step 4: Simplify right side
    451,657x = 436,292,615,100.25
  5. Step 5: Solve for x
    x = 436,292,615,100.25/451,657
  6. Step 6: Final answer
    x = 965,982.18

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.