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Finding the Third Proportional to 184,995 and 406,359

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Solution

The third proportional to 184,995 and 406,359 is: 892,605.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,995 : 406,359 = 406,359 : x
  2. Step 2: Convert to fraction form
    184,995/406,359 = 406,359/x
  3. Step 3: Cross multiply
    184,995x = 406,359 × 406,359
  4. Step 4: Simplify right side
    184,995x = 165,127,636,881
  5. Step 5: Solve for x
    x = 165,127,636,881/184,995
  6. Step 6: Final answer
    x = 892,605.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.