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Finding the Third Proportional to 389,738 and 570,783

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Solution

The third proportional to 389,738 and 570,783 is: 835,928.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,738 : 570,783 = 570,783 : x
  2. Step 2: Convert to fraction form
    389,738/570,783 = 570,783/x
  3. Step 3: Cross multiply
    389,738x = 570,783 × 570,783
  4. Step 4: Simplify right side
    389,738x = 325,793,233,089
  5. Step 5: Solve for x
    x = 325,793,233,089/389,738
  6. Step 6: Final answer
    x = 835,928.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.