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Finding the Third Proportional to 484,967.25 and 983,762.72

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Solution

The third proportional to 484,967.25 and 983,762.72 is: 1,995,576.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,967.25 : 983,762.72 = 983,762.72 : x
  2. Step 2: Convert to fraction form
    484,967.25/983,762.72 = 983,762.72/x
  3. Step 3: Cross multiply
    484,967.25x = 983,762.72 × 983,762.72
  4. Step 4: Simplify right side
    484,967.25x = 967,789,086,802.39
  5. Step 5: Solve for x
    x = 967,789,086,802.39/484,967.25
  6. Step 6: Final answer
    x = 1,995,576.17

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.