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Finding the Third Proportional to 302,556.94 and 658,344.38

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Solution

The third proportional to 302,556.94 and 658,344.38 is: 1,432,514.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,556.94 : 658,344.38 = 658,344.38 : x
  2. Step 2: Convert to fraction form
    302,556.94/658,344.38 = 658,344.38/x
  3. Step 3: Cross multiply
    302,556.94x = 658,344.38 × 658,344.38
  4. Step 4: Simplify right side
    302,556.94x = 433,417,316,094.14
  5. Step 5: Solve for x
    x = 433,417,316,094.14/302,556.94
  6. Step 6: Final answer
    x = 1,432,514.88

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