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Finding the Third Proportional to 295,933 and 652,191

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Solution

The third proportional to 295,933 and 652,191 is: 1,437,329.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,933 : 652,191 = 652,191 : x
  2. Step 2: Convert to fraction form
    295,933/652,191 = 652,191/x
  3. Step 3: Cross multiply
    295,933x = 652,191 × 652,191
  4. Step 4: Simplify right side
    295,933x = 425,353,100,481
  5. Step 5: Solve for x
    x = 425,353,100,481/295,933
  6. Step 6: Final answer
    x = 1,437,329.06

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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.