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Finding the Third Proportional to 343,273.50 and 747,573.75

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Solution

The third proportional to 343,273.50 and 747,573.75 is: 1,628,050.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,273.50 : 747,573.75 = 747,573.75 : x
  2. Step 2: Convert to fraction form
    343,273.50/747,573.75 = 747,573.75/x
  3. Step 3: Cross multiply
    343,273.50x = 747,573.75 × 747,573.75
  4. Step 4: Simplify right side
    343,273.50x = 558,866,511,689.06
  5. Step 5: Solve for x
    x = 558,866,511,689.06/343,273.50
  6. Step 6: Final answer
    x = 1,628,050.26

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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.