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Finding the Third Proportional to 302,834.25 and 665,370.75

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Solution

The third proportional to 302,834.25 and 665,370.75 is: 1,461,916.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,834.25 : 665,370.75 = 665,370.75 : x
  2. Step 2: Convert to fraction form
    302,834.25/665,370.75 = 665,370.75/x
  3. Step 3: Cross multiply
    302,834.25x = 665,370.75 × 665,370.75
  4. Step 4: Simplify right side
    302,834.25x = 442,718,234,955.56
  5. Step 5: Solve for x
    x = 442,718,234,955.56/302,834.25
  6. Step 6: Final answer
    x = 1,461,916.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.