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Finding the Third Proportional to 941,577 and 1,208,965.50

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Solution

The third proportional to 941,577 and 1,208,965.50 is: 1,552,286.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,577 : 1,208,965.50 = 1,208,965.50 : x
  2. Step 2: Convert to fraction form
    941,577/1,208,965.50 = 1,208,965.50/x
  3. Step 3: Cross multiply
    941,577x = 1,208,965.50 × 1,208,965.50
  4. Step 4: Simplify right side
    941,577x = 1,461,597,580,190.25
  5. Step 5: Solve for x
    x = 1,461,597,580,190.25/941,577
  6. Step 6: Final answer
    x = 1,552,286.83

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.