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Finding the Third Proportional to 265,414 and 402,334

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Solution

The third proportional to 265,414 and 402,334 is: 609,887.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,414 : 402,334 = 402,334 : x
  2. Step 2: Convert to fraction form
    265,414/402,334 = 402,334/x
  3. Step 3: Cross multiply
    265,414x = 402,334 × 402,334
  4. Step 4: Simplify right side
    265,414x = 161,872,647,556
  5. Step 5: Solve for x
    x = 161,872,647,556/265,414
  6. Step 6: Final answer
    x = 609,887.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.