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Finding the Third Proportional to 302,246.44 and 423,640.13

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Solution

The third proportional to 302,246.44 and 423,640.13 is: 593,790.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,246.44 : 423,640.13 = 423,640.13 : x
  2. Step 2: Convert to fraction form
    302,246.44/423,640.13 = 423,640.13/x
  3. Step 3: Cross multiply
    302,246.44x = 423,640.13 × 423,640.13
  4. Step 4: Simplify right side
    302,246.44x = 179,470,955,510.02
  5. Step 5: Solve for x
    x = 179,470,955,510.02/302,246.44
  6. Step 6: Final answer
    x = 593,790.14

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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.