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Finding the Third Proportional to 405,929 and 576,970

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Solution

The third proportional to 405,929 and 576,970 is: 820,080.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,929 : 576,970 = 576,970 : x
  2. Step 2: Convert to fraction form
    405,929/576,970 = 576,970/x
  3. Step 3: Cross multiply
    405,929x = 576,970 × 576,970
  4. Step 4: Simplify right side
    405,929x = 332,894,380,900
  5. Step 5: Solve for x
    x = 332,894,380,900/405,929
  6. Step 6: Final answer
    x = 820,080.31

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.