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Finding the Third Proportional to 405,752.63 and 882,036

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Solution

The third proportional to 405,752.63 and 882,036 is: 1,917,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,752.63 : 882,036 = 882,036 : x
  2. Step 2: Convert to fraction form
    405,752.63/882,036 = 882,036/x
  3. Step 3: Cross multiply
    405,752.63x = 882,036 × 882,036
  4. Step 4: Simplify right side
    405,752.63x = 777,987,505,296
  5. Step 5: Solve for x
    x = 777,987,505,296/405,752.63
  6. Step 6: Final answer
    x = 1,917,393.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.