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Finding the Third Proportional to 352,494 and 745,173

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Solution

The third proportional to 352,494 and 745,173 is: 1,575,297.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,494 : 745,173 = 745,173 : x
  2. Step 2: Convert to fraction form
    352,494/745,173 = 745,173/x
  3. Step 3: Cross multiply
    352,494x = 745,173 × 745,173
  4. Step 4: Simplify right side
    352,494x = 555,282,799,929
  5. Step 5: Solve for x
    x = 555,282,799,929/352,494
  6. Step 6: Final answer
    x = 1,575,297.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.