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Finding the Third Proportional to 341,261 and 734,851

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Solution

The third proportional to 341,261 and 734,851 is: 1,582,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,261 : 734,851 = 734,851 : x
  2. Step 2: Convert to fraction form
    341,261/734,851 = 734,851/x
  3. Step 3: Cross multiply
    341,261x = 734,851 × 734,851
  4. Step 4: Simplify right side
    341,261x = 540,005,992,201
  5. Step 5: Solve for x
    x = 540,005,992,201/341,261
  6. Step 6: Final answer
    x = 1,582,384.13

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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.