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Finding the Third Proportional to 343,773 and 753,912

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Solution

The third proportional to 343,773 and 753,912 is: 1,653,368.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,773 : 753,912 = 753,912 : x
  2. Step 2: Convert to fraction form
    343,773/753,912 = 753,912/x
  3. Step 3: Cross multiply
    343,773x = 753,912 × 753,912
  4. Step 4: Simplify right side
    343,773x = 568,383,303,744
  5. Step 5: Solve for x
    x = 568,383,303,744/343,773
  6. Step 6: Final answer
    x = 1,653,368.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.