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Finding the Third Proportional to 345,050 and 754,069

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Solution

The third proportional to 345,050 and 754,069 is: 1,647,935.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,050 : 754,069 = 754,069 : x
  2. Step 2: Convert to fraction form
    345,050/754,069 = 754,069/x
  3. Step 3: Cross multiply
    345,050x = 754,069 × 754,069
  4. Step 4: Simplify right side
    345,050x = 568,620,056,761
  5. Step 5: Solve for x
    x = 568,620,056,761/345,050
  6. Step 6: Final answer
    x = 1,647,935.25

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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.