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Finding the Third Proportional to 302,602 and 424,087

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Solution

The third proportional to 302,602 and 424,087 is: 594,344.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,602 : 424,087 = 424,087 : x
  2. Step 2: Convert to fraction form
    302,602/424,087 = 424,087/x
  3. Step 3: Cross multiply
    302,602x = 424,087 × 424,087
  4. Step 4: Simplify right side
    302,602x = 179,849,783,569
  5. Step 5: Solve for x
    x = 179,849,783,569/302,602
  6. Step 6: Final answer
    x = 594,344.33

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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.