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Finding the Third Proportional to 342,382 and 514,608

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Solution

The third proportional to 342,382 and 514,608 is: 773,467.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,382 : 514,608 = 514,608 : x
  2. Step 2: Convert to fraction form
    342,382/514,608 = 514,608/x
  3. Step 3: Cross multiply
    342,382x = 514,608 × 514,608
  4. Step 4: Simplify right side
    342,382x = 264,821,393,664
  5. Step 5: Solve for x
    x = 264,821,393,664/342,382
  6. Step 6: Final answer
    x = 773,467.63

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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.