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Finding the Third Proportional to 302,745 and 468,769.50

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Solution

The third proportional to 302,745 and 468,769.50 is: 725,841.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,745 : 468,769.50 = 468,769.50 : x
  2. Step 2: Convert to fraction form
    302,745/468,769.50 = 468,769.50/x
  3. Step 3: Cross multiply
    302,745x = 468,769.50 × 468,769.50
  4. Step 4: Simplify right side
    302,745x = 219,744,844,130.25
  5. Step 5: Solve for x
    x = 219,744,844,130.25/302,745
  6. Step 6: Final answer
    x = 725,841.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.