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Finding the Third Proportional to 319,194 and 675,270

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Solution

The third proportional to 319,194 and 675,270 is: 1,428,565.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,194 : 675,270 = 675,270 : x
  2. Step 2: Convert to fraction form
    319,194/675,270 = 675,270/x
  3. Step 3: Cross multiply
    319,194x = 675,270 × 675,270
  4. Step 4: Simplify right side
    319,194x = 455,989,572,900
  5. Step 5: Solve for x
    x = 455,989,572,900/319,194
  6. Step 6: Final answer
    x = 1,428,565.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.