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Finding the Third Proportional to 624,267 and 966,055.50

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Solution

The third proportional to 624,267 and 966,055.50 is: 1,494,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,267 : 966,055.50 = 966,055.50 : x
  2. Step 2: Convert to fraction form
    624,267/966,055.50 = 966,055.50/x
  3. Step 3: Cross multiply
    624,267x = 966,055.50 × 966,055.50
  4. Step 4: Simplify right side
    624,267x = 933,263,229,080.25
  5. Step 5: Solve for x
    x = 933,263,229,080.25/624,267
  6. Step 6: Final answer
    x = 1,494,974.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.