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Finding the Third Proportional to 362,701.55 and 788,372.44

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Solution

The third proportional to 362,701.55 and 788,372.44 is: 1,713,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,701.55 : 788,372.44 = 788,372.44 : x
  2. Step 2: Convert to fraction form
    362,701.55/788,372.44 = 788,372.44/x
  3. Step 3: Cross multiply
    362,701.55x = 788,372.44 × 788,372.44
  4. Step 4: Simplify right side
    362,701.55x = 621,531,100,209.69
  5. Step 5: Solve for x
    x = 621,531,100,209.69/362,701.55
  6. Step 6: Final answer
    x = 1,713,615.80

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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.