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Finding the Third Proportional to 305,744 and 671,264

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Solution

The third proportional to 305,744 and 671,264 is: 1,473,766.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,744 : 671,264 = 671,264 : x
  2. Step 2: Convert to fraction form
    305,744/671,264 = 671,264/x
  3. Step 3: Cross multiply
    305,744x = 671,264 × 671,264
  4. Step 4: Simplify right side
    305,744x = 450,595,357,696
  5. Step 5: Solve for x
    x = 450,595,357,696/305,744
  6. Step 6: Final answer
    x = 1,473,766.80

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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.