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Finding the Third Proportional to 405,924 and 576,963

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Solution

The third proportional to 405,924 and 576,963 is: 820,070.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,924 : 576,963 = 576,963 : x
  2. Step 2: Convert to fraction form
    405,924/576,963 = 576,963/x
  3. Step 3: Cross multiply
    405,924x = 576,963 × 576,963
  4. Step 4: Simplify right side
    405,924x = 332,886,303,369
  5. Step 5: Solve for x
    x = 332,886,303,369/405,924
  6. Step 6: Final answer
    x = 820,070.51

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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.