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Finding the Third Proportional to 341,210 and 734,260

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Solution

The third proportional to 341,210 and 734,260 is: 1,580,076.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,210 : 734,260 = 734,260 : x
  2. Step 2: Convert to fraction form
    341,210/734,260 = 734,260/x
  3. Step 3: Cross multiply
    341,210x = 734,260 × 734,260
  4. Step 4: Simplify right side
    341,210x = 539,137,747,600
  5. Step 5: Solve for x
    x = 539,137,747,600/341,210
  6. Step 6: Final answer
    x = 1,580,076.05

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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.