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Finding the Third Proportional to 405,764 and 873,880

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Solution

The third proportional to 405,764 and 873,880 is: 1,882,045.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,764 : 873,880 = 873,880 : x
  2. Step 2: Convert to fraction form
    405,764/873,880 = 873,880/x
  3. Step 3: Cross multiply
    405,764x = 873,880 × 873,880
  4. Step 4: Simplify right side
    405,764x = 763,666,254,400
  5. Step 5: Solve for x
    x = 763,666,254,400/405,764
  6. Step 6: Final answer
    x = 1,882,045.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.