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Finding the Third Proportional to 259,706 and 346,791

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Solution

The third proportional to 259,706 and 346,791 is: 463,077.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,706 : 346,791 = 346,791 : x
  2. Step 2: Convert to fraction form
    259,706/346,791 = 346,791/x
  3. Step 3: Cross multiply
    259,706x = 346,791 × 346,791
  4. Step 4: Simplify right side
    259,706x = 120,263,997,681
  5. Step 5: Solve for x
    x = 120,263,997,681/259,706
  6. Step 6: Final answer
    x = 463,077.47

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.