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Finding the Third Proportional to 302,283.75 and 659,829

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Solution

The third proportional to 302,283.75 and 659,829 is: 1,440,283.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,283.75 : 659,829 = 659,829 : x
  2. Step 2: Convert to fraction form
    302,283.75/659,829 = 659,829/x
  3. Step 3: Cross multiply
    302,283.75x = 659,829 × 659,829
  4. Step 4: Simplify right side
    302,283.75x = 435,374,309,241
  5. Step 5: Solve for x
    x = 435,374,309,241/302,283.75
  6. Step 6: Final answer
    x = 1,440,283.54

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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.