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Finding the Third Proportional to 360,925 and 504,580

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Solution

The third proportional to 360,925 and 504,580 is: 705,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,925 : 504,580 = 504,580 : x
  2. Step 2: Convert to fraction form
    360,925/504,580 = 504,580/x
  3. Step 3: Cross multiply
    360,925x = 504,580 × 504,580
  4. Step 4: Simplify right side
    360,925x = 254,600,976,400
  5. Step 5: Solve for x
    x = 254,600,976,400/360,925
  6. Step 6: Final answer
    x = 705,412.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.