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Finding the Third Proportional to 340,189 and 745,015

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Solution

The third proportional to 340,189 and 745,015 is: 1,631,585.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,189 : 745,015 = 745,015 : x
  2. Step 2: Convert to fraction form
    340,189/745,015 = 745,015/x
  3. Step 3: Cross multiply
    340,189x = 745,015 × 745,015
  4. Step 4: Simplify right side
    340,189x = 555,047,350,225
  5. Step 5: Solve for x
    x = 555,047,350,225/340,189
  6. Step 6: Final answer
    x = 1,631,585.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.