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Finding the Third Proportional to 452,212.50 and 983,157

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Solution

The third proportional to 452,212.50 and 983,157 is: 2,137,485.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,212.50 : 983,157 = 983,157 : x
  2. Step 2: Convert to fraction form
    452,212.50/983,157 = 983,157/x
  3. Step 3: Cross multiply
    452,212.50x = 983,157 × 983,157
  4. Step 4: Simplify right side
    452,212.50x = 966,597,686,649
  5. Step 5: Solve for x
    x = 966,597,686,649/452,212.50
  6. Step 6: Final answer
    x = 2,137,485.56

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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.