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Finding the Third Proportional to 589,252.50 and 882,906.50

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Solution

The third proportional to 589,252.50 and 882,906.50 is: 1,322,902.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,252.50 : 882,906.50 = 882,906.50 : x
  2. Step 2: Convert to fraction form
    589,252.50/882,906.50 = 882,906.50/x
  3. Step 3: Cross multiply
    589,252.50x = 882,906.50 × 882,906.50
  4. Step 4: Simplify right side
    589,252.50x = 779,523,887,742.25
  5. Step 5: Solve for x
    x = 779,523,887,742.25/589,252.50
  6. Step 6: Final answer
    x = 1,322,902.98

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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.