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Finding the Third Proportional to 302,194 and 657,770

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Solution

The third proportional to 302,194 and 657,770 is: 1,431,733.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,194 : 657,770 = 657,770 : x
  2. Step 2: Convert to fraction form
    302,194/657,770 = 657,770/x
  3. Step 3: Cross multiply
    302,194x = 657,770 × 657,770
  4. Step 4: Simplify right side
    302,194x = 432,661,372,900
  5. Step 5: Solve for x
    x = 432,661,372,900/302,194
  6. Step 6: Final answer
    x = 1,431,733.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.