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Finding the Third Proportional to 332,317 and 487,370.50

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Solution

The third proportional to 332,317 and 487,370.50 is: 714,769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,317 : 487,370.50 = 487,370.50 : x
  2. Step 2: Convert to fraction form
    332,317/487,370.50 = 487,370.50/x
  3. Step 3: Cross multiply
    332,317x = 487,370.50 × 487,370.50
  4. Step 4: Simplify right side
    332,317x = 237,530,004,270.25
  5. Step 5: Solve for x
    x = 237,530,004,270.25/332,317
  6. Step 6: Final answer
    x = 714,769.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.