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Finding the Third Proportional to 302,565.75 and 658,359.75

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Solution

The third proportional to 302,565.75 and 658,359.75 is: 1,432,540.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,565.75 : 658,359.75 = 658,359.75 : x
  2. Step 2: Convert to fraction form
    302,565.75/658,359.75 = 658,359.75/x
  3. Step 3: Cross multiply
    302,565.75x = 658,359.75 × 658,359.75
  4. Step 4: Simplify right side
    302,565.75x = 433,437,560,420.06
  5. Step 5: Solve for x
    x = 433,437,560,420.06/302,565.75
  6. Step 6: Final answer
    x = 1,432,540.07

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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.