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Finding the Third Proportional to 350,934.75 and 760,866.75

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Solution

The third proportional to 350,934.75 and 760,866.75 is: 1,649,646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,934.75 : 760,866.75 = 760,866.75 : x
  2. Step 2: Convert to fraction form
    350,934.75/760,866.75 = 760,866.75/x
  3. Step 3: Cross multiply
    350,934.75x = 760,866.75 × 760,866.75
  4. Step 4: Simplify right side
    350,934.75x = 578,918,211,255.56
  5. Step 5: Solve for x
    x = 578,918,211,255.56/350,934.75
  6. Step 6: Final answer
    x = 1,649,646.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.