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Finding the Third Proportional to 184,527 and 403,519

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Solution

The third proportional to 184,527 and 403,519 is: 882,405.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,527 : 403,519 = 403,519 : x
  2. Step 2: Convert to fraction form
    184,527/403,519 = 403,519/x
  3. Step 3: Cross multiply
    184,527x = 403,519 × 403,519
  4. Step 4: Simplify right side
    184,527x = 162,827,583,361
  5. Step 5: Solve for x
    x = 162,827,583,361/184,527
  6. Step 6: Final answer
    x = 882,405.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.