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Finding the Third Proportional to 302,629 and 424,126

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Solution

The third proportional to 302,629 and 424,126 is: 594,400.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,629 : 424,126 = 424,126 : x
  2. Step 2: Convert to fraction form
    302,629/424,126 = 424,126/x
  3. Step 3: Cross multiply
    302,629x = 424,126 × 424,126
  4. Step 4: Simplify right side
    302,629x = 179,882,863,876
  5. Step 5: Solve for x
    x = 179,882,863,876/302,629
  6. Step 6: Final answer
    x = 594,400.62

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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.