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Finding the Third Proportional to 452,194.88 and 941,602.50

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Solution

The third proportional to 452,194.88 and 941,602.50 is: 1,960,692.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,194.88 : 941,602.50 = 941,602.50 : x
  2. Step 2: Convert to fraction form
    452,194.88/941,602.50 = 941,602.50/x
  3. Step 3: Cross multiply
    452,194.88x = 941,602.50 × 941,602.50
  4. Step 4: Simplify right side
    452,194.88x = 886,615,268,006.25
  5. Step 5: Solve for x
    x = 886,615,268,006.25/452,194.88
  6. Step 6: Final answer
    x = 1,960,692.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.