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Finding the Third Proportional to 384,746 and 574,965

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Solution

The third proportional to 384,746 and 574,965 is: 859,228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,746 : 574,965 = 574,965 : x
  2. Step 2: Convert to fraction form
    384,746/574,965 = 574,965/x
  3. Step 3: Cross multiply
    384,746x = 574,965 × 574,965
  4. Step 4: Simplify right side
    384,746x = 330,584,751,225
  5. Step 5: Solve for x
    x = 330,584,751,225/384,746
  6. Step 6: Final answer
    x = 859,228.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.