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Finding the Third Proportional to 302,057 and 479,869.50

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Solution

The third proportional to 302,057 and 479,869.50 is: 762,355.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,057 : 479,869.50 = 479,869.50 : x
  2. Step 2: Convert to fraction form
    302,057/479,869.50 = 479,869.50/x
  3. Step 3: Cross multiply
    302,057x = 479,869.50 × 479,869.50
  4. Step 4: Simplify right side
    302,057x = 230,274,737,030.25
  5. Step 5: Solve for x
    x = 230,274,737,030.25/302,057
  6. Step 6: Final answer
    x = 762,355.24

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.