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Finding the Third Proportional to 612,402.75 and 950,573.25

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Solution

The third proportional to 612,402.75 and 950,573.25 is: 1,475,482.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,402.75 : 950,573.25 = 950,573.25 : x
  2. Step 2: Convert to fraction form
    612,402.75/950,573.25 = 950,573.25/x
  3. Step 3: Cross multiply
    612,402.75x = 950,573.25 × 950,573.25
  4. Step 4: Simplify right side
    612,402.75x = 903,589,503,615.56
  5. Step 5: Solve for x
    x = 903,589,503,615.56/612,402.75
  6. Step 6: Final answer
    x = 1,475,482.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.