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Finding the Third Proportional to 312,151 and 685,061

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Solution

The third proportional to 312,151 and 685,061 is: 1,503,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,151 : 685,061 = 685,061 : x
  2. Step 2: Convert to fraction form
    312,151/685,061 = 685,061/x
  3. Step 3: Cross multiply
    312,151x = 685,061 × 685,061
  4. Step 4: Simplify right side
    312,151x = 469,308,573,721
  5. Step 5: Solve for x
    x = 469,308,573,721/312,151
  6. Step 6: Final answer
    x = 1,503,466.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.