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Finding the Third Proportional to 504,722.81 and 775,791

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Solution

The third proportional to 504,722.81 and 775,791 is: 1,192,440.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,722.81 : 775,791 = 775,791 : x
  2. Step 2: Convert to fraction form
    504,722.81/775,791 = 775,791/x
  3. Step 3: Cross multiply
    504,722.81x = 775,791 × 775,791
  4. Step 4: Simplify right side
    504,722.81x = 601,851,675,681
  5. Step 5: Solve for x
    x = 601,851,675,681/504,722.81
  6. Step 6: Final answer
    x = 1,192,440.01

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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.