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Finding the Third Proportional to 589,261.50 and 882,920.25

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Solution

The third proportional to 589,261.50 and 882,920.25 is: 1,322,923.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,261.50 : 882,920.25 = 882,920.25 : x
  2. Step 2: Convert to fraction form
    589,261.50/882,920.25 = 882,920.25/x
  3. Step 3: Cross multiply
    589,261.50x = 882,920.25 × 882,920.25
  4. Step 4: Simplify right side
    589,261.50x = 779,548,167,860.06
  5. Step 5: Solve for x
    x = 779,548,167,860.06/589,261.50
  6. Step 6: Final answer
    x = 1,322,923.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.