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Finding the Third Proportional to 184,481 and 403,453

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Solution

The third proportional to 184,481 and 403,453 is: 882,336.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,481 : 403,453 = 403,453 : x
  2. Step 2: Convert to fraction form
    184,481/403,453 = 403,453/x
  3. Step 3: Cross multiply
    184,481x = 403,453 × 403,453
  4. Step 4: Simplify right side
    184,481x = 162,774,323,209
  5. Step 5: Solve for x
    x = 162,774,323,209/184,481
  6. Step 6: Final answer
    x = 882,336.52

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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.