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Finding the Third Proportional to 474,403.50 and 753,836.63

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Solution

The third proportional to 474,403.50 and 753,836.63 is: 1,197,861.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,403.50 : 753,836.63 = 753,836.63 : x
  2. Step 2: Convert to fraction form
    474,403.50/753,836.63 = 753,836.63/x
  3. Step 3: Cross multiply
    474,403.50x = 753,836.63 × 753,836.63
  4. Step 4: Simplify right side
    474,403.50x = 568,269,657,191.39
  5. Step 5: Solve for x
    x = 568,269,657,191.39/474,403.50
  6. Step 6: Final answer
    x = 1,197,861.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.