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Finding the Third Proportional to 350,561.50 and 765,971

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Solution

The third proportional to 350,561.50 and 765,971 is: 1,673,633.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,561.50 : 765,971 = 765,971 : x
  2. Step 2: Convert to fraction form
    350,561.50/765,971 = 765,971/x
  3. Step 3: Cross multiply
    350,561.50x = 765,971 × 765,971
  4. Step 4: Simplify right side
    350,561.50x = 586,711,572,841
  5. Step 5: Solve for x
    x = 586,711,572,841/350,561.50
  6. Step 6: Final answer
    x = 1,673,633.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.