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Finding the Third Proportional to 451,297.13 and 983,533.50

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Solution

The third proportional to 451,297.13 and 983,533.50 is: 2,143,461.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,297.13 : 983,533.50 = 983,533.50 : x
  2. Step 2: Convert to fraction form
    451,297.13/983,533.50 = 983,533.50/x
  3. Step 3: Cross multiply
    451,297.13x = 983,533.50 × 983,533.50
  4. Step 4: Simplify right side
    451,297.13x = 967,338,145,622.25
  5. Step 5: Solve for x
    x = 967,338,145,622.25/451,297.13
  6. Step 6: Final answer
    x = 2,143,461.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.