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Finding the Third Proportional to 345,017 and 475,096

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Solution

The third proportional to 345,017 and 475,096 is: 654,217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,017 : 475,096 = 475,096 : x
  2. Step 2: Convert to fraction form
    345,017/475,096 = 475,096/x
  3. Step 3: Cross multiply
    345,017x = 475,096 × 475,096
  4. Step 4: Simplify right side
    345,017x = 225,716,209,216
  5. Step 5: Solve for x
    x = 225,716,209,216/345,017
  6. Step 6: Final answer
    x = 654,217.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.