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Finding the Third Proportional to 454,297.50 and 983,823.75

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Solution

The third proportional to 454,297.50 and 983,823.75 is: 2,130,562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,297.50 : 983,823.75 = 983,823.75 : x
  2. Step 2: Convert to fraction form
    454,297.50/983,823.75 = 983,823.75/x
  3. Step 3: Cross multiply
    454,297.50x = 983,823.75 × 983,823.75
  4. Step 4: Simplify right side
    454,297.50x = 967,909,171,064.06
  5. Step 5: Solve for x
    x = 967,909,171,064.06/454,297.50
  6. Step 6: Final answer
    x = 2,130,562.40

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Why These Related Problems?

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