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Finding the Third Proportional to 405,208 and 881,768

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Solution

The third proportional to 405,208 and 881,768 is: 1,918,804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,208 : 881,768 = 881,768 : x
  2. Step 2: Convert to fraction form
    405,208/881,768 = 881,768/x
  3. Step 3: Cross multiply
    405,208x = 881,768 × 881,768
  4. Step 4: Simplify right side
    405,208x = 777,514,805,824
  5. Step 5: Solve for x
    x = 777,514,805,824/405,208
  6. Step 6: Final answer
    x = 1,918,804.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.