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Finding the Third Proportional to 504,537.75 and 782,025

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Solution

The third proportional to 504,537.75 and 782,025 is: 1,212,125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,537.75 : 782,025 = 782,025 : x
  2. Step 2: Convert to fraction form
    504,537.75/782,025 = 782,025/x
  3. Step 3: Cross multiply
    504,537.75x = 782,025 × 782,025
  4. Step 4: Simplify right side
    504,537.75x = 611,563,100,625
  5. Step 5: Solve for x
    x = 611,563,100,625/504,537.75
  6. Step 6: Final answer
    x = 1,212,125.56

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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.