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Finding the Third Proportional to 302,217.75 and 423,636.75

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Solution

The third proportional to 302,217.75 and 423,636.75 is: 593,837.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,217.75 : 423,636.75 = 423,636.75 : x
  2. Step 2: Convert to fraction form
    302,217.75/423,636.75 = 423,636.75/x
  3. Step 3: Cross multiply
    302,217.75x = 423,636.75 × 423,636.75
  4. Step 4: Simplify right side
    302,217.75x = 179,468,095,950.56
  5. Step 5: Solve for x
    x = 179,468,095,950.56/302,217.75
  6. Step 6: Final answer
    x = 593,837.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.