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Finding the Third Proportional to 504,936 and 758,700

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Solution

The third proportional to 504,936 and 758,700 is: 1,139,997.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,936 : 758,700 = 758,700 : x
  2. Step 2: Convert to fraction form
    504,936/758,700 = 758,700/x
  3. Step 3: Cross multiply
    504,936x = 758,700 × 758,700
  4. Step 4: Simplify right side
    504,936x = 575,625,690,000
  5. Step 5: Solve for x
    x = 575,625,690,000/504,936
  6. Step 6: Final answer
    x = 1,139,997.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.