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Finding the Third Proportional to 302,599.75 and 424,086.25

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Solution

The third proportional to 302,599.75 and 424,086.25 is: 594,346.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,599.75 : 424,086.25 = 424,086.25 : x
  2. Step 2: Convert to fraction form
    302,599.75/424,086.25 = 424,086.25/x
  3. Step 3: Cross multiply
    302,599.75x = 424,086.25 × 424,086.25
  4. Step 4: Simplify right side
    302,599.75x = 179,849,147,439.06
  5. Step 5: Solve for x
    x = 179,849,147,439.06/302,599.75
  6. Step 6: Final answer
    x = 594,346.65

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.