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Finding the Third Proportional to 454,212.56 and 983,671.59

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Solution

The third proportional to 454,212.56 and 983,671.59 is: 2,130,301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,212.56 : 983,671.59 = 983,671.59 : x
  2. Step 2: Convert to fraction form
    454,212.56/983,671.59 = 983,671.59/x
  3. Step 3: Cross multiply
    454,212.56x = 983,671.59 × 983,671.59
  4. Step 4: Simplify right side
    454,212.56x = 967,609,804,350.67
  5. Step 5: Solve for x
    x = 967,609,804,350.67/454,212.56
  6. Step 6: Final answer
    x = 2,130,301.72

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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.