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Finding the Third Proportional to 312,194.25 and 446,117.63

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Solution

The third proportional to 312,194.25 and 446,117.63 is: 637,490.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,194.25 : 446,117.63 = 446,117.63 : x
  2. Step 2: Convert to fraction form
    312,194.25/446,117.63 = 446,117.63/x
  3. Step 3: Cross multiply
    312,194.25x = 446,117.63 × 446,117.63
  4. Step 4: Simplify right side
    312,194.25x = 199,020,935,335.64
  5. Step 5: Solve for x
    x = 199,020,935,335.64/312,194.25
  6. Step 6: Final answer
    x = 637,490.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.