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Finding the Third Proportional to 606,145.50 and 882,564.19

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Solution

The third proportional to 606,145.50 and 882,564.19 is: 1,285,037.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,145.50 : 882,564.19 = 882,564.19 : x
  2. Step 2: Convert to fraction form
    606,145.50/882,564.19 = 882,564.19/x
  3. Step 3: Cross multiply
    606,145.50x = 882,564.19 × 882,564.19
  4. Step 4: Simplify right side
    606,145.50x = 778,919,545,057.54
  5. Step 5: Solve for x
    x = 778,919,545,057.54/606,145.50
  6. Step 6: Final answer
    x = 1,285,037.25

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.