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Finding the Third Proportional to 187,452 and 404,430

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Solution

The third proportional to 187,452 and 404,430 is: 872,562.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,452 : 404,430 = 404,430 : x
  2. Step 2: Convert to fraction form
    187,452/404,430 = 404,430/x
  3. Step 3: Cross multiply
    187,452x = 404,430 × 404,430
  4. Step 4: Simplify right side
    187,452x = 163,563,624,900
  5. Step 5: Solve for x
    x = 163,563,624,900/187,452
  6. Step 6: Final answer
    x = 872,562.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.