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Finding the Third Proportional to 325,336 and 486,091

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Solution

The third proportional to 325,336 and 486,091 is: 726,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,336 : 486,091 = 486,091 : x
  2. Step 2: Convert to fraction form
    325,336/486,091 = 486,091/x
  3. Step 3: Cross multiply
    325,336x = 486,091 × 486,091
  4. Step 4: Simplify right side
    325,336x = 236,284,460,281
  5. Step 5: Solve for x
    x = 236,284,460,281/325,336
  6. Step 6: Final answer
    x = 726,278.25

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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.