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Finding the Third Proportional to 343,273 and 747,571

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Solution

The third proportional to 343,273 and 747,571 is: 1,628,040.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,273 : 747,571 = 747,571 : x
  2. Step 2: Convert to fraction form
    343,273/747,571 = 747,571/x
  3. Step 3: Cross multiply
    343,273x = 747,571 × 747,571
  4. Step 4: Simplify right side
    343,273x = 558,862,400,041
  5. Step 5: Solve for x
    x = 558,862,400,041/343,273
  6. Step 6: Final answer
    x = 1,628,040.66

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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.