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Finding the Third Proportional to 341,858 and 736,282

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Solution

The third proportional to 341,858 and 736,282 is: 1,585,778.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,858 : 736,282 = 736,282 : x
  2. Step 2: Convert to fraction form
    341,858/736,282 = 736,282/x
  3. Step 3: Cross multiply
    341,858x = 736,282 × 736,282
  4. Step 4: Simplify right side
    341,858x = 542,111,183,524
  5. Step 5: Solve for x
    x = 542,111,183,524/341,858
  6. Step 6: Final answer
    x = 1,585,778.84

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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.