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Finding the Third Proportional to 302,561.58 and 658,355.34

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Solution

The third proportional to 302,561.58 and 658,355.34 is: 1,432,540.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,561.58 : 658,355.34 = 658,355.34 : x
  2. Step 2: Convert to fraction form
    302,561.58/658,355.34 = 658,355.34/x
  3. Step 3: Cross multiply
    302,561.58x = 658,355.34 × 658,355.34
  4. Step 4: Simplify right side
    302,561.58x = 433,431,758,644.18
  5. Step 5: Solve for x
    x = 433,431,758,644.18/302,561.58
  6. Step 6: Final answer
    x = 1,432,540.65

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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.