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Finding the Third Proportional to 302,866.75 and 468,903.62

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Solution

The third proportional to 302,866.75 and 468,903.62 is: 725,964.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,866.75 : 468,903.62 = 468,903.62 : x
  2. Step 2: Convert to fraction form
    302,866.75/468,903.62 = 468,903.62/x
  3. Step 3: Cross multiply
    302,866.75x = 468,903.62 × 468,903.62
  4. Step 4: Simplify right side
    302,866.75x = 219,870,605,874.83
  5. Step 5: Solve for x
    x = 219,870,605,874.83/302,866.75
  6. Step 6: Final answer
    x = 725,964.82

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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.