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Finding the Third Proportional to 405,250 and 881,851

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Solution

The third proportional to 405,250 and 881,851 is: 1,918,966.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,250 : 881,851 = 881,851 : x
  2. Step 2: Convert to fraction form
    405,250/881,851 = 881,851/x
  3. Step 3: Cross multiply
    405,250x = 881,851 × 881,851
  4. Step 4: Simplify right side
    405,250x = 777,661,186,201
  5. Step 5: Solve for x
    x = 777,661,186,201/405,250
  6. Step 6: Final answer
    x = 1,918,966.53

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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.