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Finding the Third Proportional to 187,972 and 406,920

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Solution

The third proportional to 187,972 and 406,920 is: 880,896.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,972 : 406,920 = 406,920 : x
  2. Step 2: Convert to fraction form
    187,972/406,920 = 406,920/x
  3. Step 3: Cross multiply
    187,972x = 406,920 × 406,920
  4. Step 4: Simplify right side
    187,972x = 165,583,886,400
  5. Step 5: Solve for x
    x = 165,583,886,400/187,972
  6. Step 6: Final answer
    x = 880,896.55

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