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Finding the Third Proportional to 350,543.64 and 501,241.61

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Solution

The third proportional to 350,543.64 and 501,241.61 is: 716,724.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,543.64 : 501,241.61 = 501,241.61 : x
  2. Step 2: Convert to fraction form
    350,543.64/501,241.61 = 501,241.61/x
  3. Step 3: Cross multiply
    350,543.64x = 501,241.61 × 501,241.61
  4. Step 4: Simplify right side
    350,543.64x = 251,243,147,052.89
  5. Step 5: Solve for x
    x = 251,243,147,052.89/350,543.64
  6. Step 6: Final answer
    x = 716,724.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.