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Finding the Third Proportional to 447,030.56 and 968,395.50

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Solution

The third proportional to 447,030.56 and 968,395.50 is: 2,097,820.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,030.56 : 968,395.50 = 968,395.50 : x
  2. Step 2: Convert to fraction form
    447,030.56/968,395.50 = 968,395.50/x
  3. Step 3: Cross multiply
    447,030.56x = 968,395.50 × 968,395.50
  4. Step 4: Simplify right side
    447,030.56x = 937,789,844,420.25
  5. Step 5: Solve for x
    x = 937,789,844,420.25/447,030.56
  6. Step 6: Final answer
    x = 2,097,820.42

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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.