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Finding the Third Proportional to 325,258 and 500,570

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Solution

The third proportional to 325,258 and 500,570 is: 770,374.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,258 : 500,570 = 500,570 : x
  2. Step 2: Convert to fraction form
    325,258/500,570 = 500,570/x
  3. Step 3: Cross multiply
    325,258x = 500,570 × 500,570
  4. Step 4: Simplify right side
    325,258x = 250,570,324,900
  5. Step 5: Solve for x
    x = 250,570,324,900/325,258
  6. Step 6: Final answer
    x = 770,374.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.