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Finding the Third Proportional to 302,564.25 and 658,356.75

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Solution

The third proportional to 302,564.25 and 658,356.75 is: 1,432,534.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,564.25 : 658,356.75 = 658,356.75 : x
  2. Step 2: Convert to fraction form
    302,564.25/658,356.75 = 658,356.75/x
  3. Step 3: Cross multiply
    302,564.25x = 658,356.75 × 658,356.75
  4. Step 4: Simplify right side
    302,564.25x = 433,433,610,270.56
  5. Step 5: Solve for x
    x = 433,433,610,270.56/302,564.25
  6. Step 6: Final answer
    x = 1,432,534.12

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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.