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Finding the Third Proportional to 350,962.69 and 539,121.75

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Solution

The third proportional to 350,962.69 and 539,121.75 is: 828,157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,962.69 : 539,121.75 = 539,121.75 : x
  2. Step 2: Convert to fraction form
    350,962.69/539,121.75 = 539,121.75/x
  3. Step 3: Cross multiply
    350,962.69x = 539,121.75 × 539,121.75
  4. Step 4: Simplify right side
    350,962.69x = 290,652,261,323.06
  5. Step 5: Solve for x
    x = 290,652,261,323.06/350,962.69
  6. Step 6: Final answer
    x = 828,157.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.