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Finding the Third Proportional to 341,228 and 734,292

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Solution

The third proportional to 341,228 and 734,292 is: 1,580,130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,228 : 734,292 = 734,292 : x
  2. Step 2: Convert to fraction form
    341,228/734,292 = 734,292/x
  3. Step 3: Cross multiply
    341,228x = 734,292 × 734,292
  4. Step 4: Simplify right side
    341,228x = 539,184,741,264
  5. Step 5: Solve for x
    x = 539,184,741,264/341,228
  6. Step 6: Final answer
    x = 1,580,130.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.