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Finding the Third Proportional to 345,192.75 and 714,350.25

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Solution

The third proportional to 345,192.75 and 714,350.25 is: 1,478,293.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,192.75 : 714,350.25 = 714,350.25 : x
  2. Step 2: Convert to fraction form
    345,192.75/714,350.25 = 714,350.25/x
  3. Step 3: Cross multiply
    345,192.75x = 714,350.25 × 714,350.25
  4. Step 4: Simplify right side
    345,192.75x = 510,296,279,675.06
  5. Step 5: Solve for x
    x = 510,296,279,675.06/345,192.75
  6. Step 6: Final answer
    x = 1,478,293.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.