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Finding the Third Proportional to 341,378 and 744,963

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Solution

The third proportional to 341,378 and 744,963 is: 1,625,675.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,378 : 744,963 = 744,963 : x
  2. Step 2: Convert to fraction form
    341,378/744,963 = 744,963/x
  3. Step 3: Cross multiply
    341,378x = 744,963 × 744,963
  4. Step 4: Simplify right side
    341,378x = 554,969,871,369
  5. Step 5: Solve for x
    x = 554,969,871,369/341,378
  6. Step 6: Final answer
    x = 1,625,675.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.