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Finding the Third Proportional to 345,051 and 754,071

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Solution

The third proportional to 345,051 and 754,071 is: 1,647,939.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,051 : 754,071 = 754,071 : x
  2. Step 2: Convert to fraction form
    345,051/754,071 = 754,071/x
  3. Step 3: Cross multiply
    345,051x = 754,071 × 754,071
  4. Step 4: Simplify right side
    345,051x = 568,623,073,041
  5. Step 5: Solve for x
    x = 568,623,073,041/345,051
  6. Step 6: Final answer
    x = 1,647,939.21

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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.