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Finding the Third Proportional to 345,384 and 745,191

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Solution

The third proportional to 345,384 and 745,191 is: 1,607,803.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,384 : 745,191 = 745,191 : x
  2. Step 2: Convert to fraction form
    345,384/745,191 = 745,191/x
  3. Step 3: Cross multiply
    345,384x = 745,191 × 745,191
  4. Step 4: Simplify right side
    345,384x = 555,309,626,481
  5. Step 5: Solve for x
    x = 555,309,626,481/345,384
  6. Step 6: Final answer
    x = 1,607,803.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.