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Finding the Third Proportional to 235,017 and 516,690

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Solution

The third proportional to 235,017 and 516,690 is: 1,135,954.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,017 : 516,690 = 516,690 : x
  2. Step 2: Convert to fraction form
    235,017/516,690 = 516,690/x
  3. Step 3: Cross multiply
    235,017x = 516,690 × 516,690
  4. Step 4: Simplify right side
    235,017x = 266,968,556,100
  5. Step 5: Solve for x
    x = 266,968,556,100/235,017
  6. Step 6: Final answer
    x = 1,135,954.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.