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Finding the Third Proportional to 448,778 and 972,324.50

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Solution

The third proportional to 448,778 and 972,324.50 is: 2,106,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,778 : 972,324.50 = 972,324.50 : x
  2. Step 2: Convert to fraction form
    448,778/972,324.50 = 972,324.50/x
  3. Step 3: Cross multiply
    448,778x = 972,324.50 × 972,324.50
  4. Step 4: Simplify right side
    448,778x = 945,414,933,300.25
  5. Step 5: Solve for x
    x = 945,414,933,300.25/448,778
  6. Step 6: Final answer
    x = 2,106,642.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.