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Finding the Third Proportional to 302,605 and 424,093

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Solution

The third proportional to 302,605 and 424,093 is: 594,355.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,605 : 424,093 = 424,093 : x
  2. Step 2: Convert to fraction form
    302,605/424,093 = 424,093/x
  3. Step 3: Cross multiply
    302,605x = 424,093 × 424,093
  4. Step 4: Simplify right side
    302,605x = 179,854,872,649
  5. Step 5: Solve for x
    x = 179,854,872,649/302,605
  6. Step 6: Final answer
    x = 594,355.26

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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.