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Finding the Third Proportional to 590,125.50 and 882,636.75

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Solution

The third proportional to 590,125.50 and 882,636.75 is: 1,320,138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,125.50 : 882,636.75 = 882,636.75 : x
  2. Step 2: Convert to fraction form
    590,125.50/882,636.75 = 882,636.75/x
  3. Step 3: Cross multiply
    590,125.50x = 882,636.75 × 882,636.75
  4. Step 4: Simplify right side
    590,125.50x = 779,047,632,450.56
  5. Step 5: Solve for x
    x = 779,047,632,450.56/590,125.50
  6. Step 6: Final answer
    x = 1,320,138.91

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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.