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Finding the Third Proportional to 326,360 and 504,300

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Solution

The third proportional to 326,360 and 504,300 is: 779,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,360 : 504,300 = 504,300 : x
  2. Step 2: Convert to fraction form
    326,360/504,300 = 504,300/x
  3. Step 3: Cross multiply
    326,360x = 504,300 × 504,300
  4. Step 4: Simplify right side
    326,360x = 254,318,490,000
  5. Step 5: Solve for x
    x = 254,318,490,000/326,360
  6. Step 6: Final answer
    x = 779,257.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.