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Finding the Third Proportional to 504,731 and 775,804

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Solution

The third proportional to 504,731 and 775,804 is: 1,192,460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,731 : 775,804 = 775,804 : x
  2. Step 2: Convert to fraction form
    504,731/775,804 = 775,804/x
  3. Step 3: Cross multiply
    504,731x = 775,804 × 775,804
  4. Step 4: Simplify right side
    504,731x = 601,871,846,416
  5. Step 5: Solve for x
    x = 601,871,846,416/504,731
  6. Step 6: Final answer
    x = 1,192,460.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.