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Finding the Third Proportional to 184,209 and 403,538

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Solution

The third proportional to 184,209 and 403,538 is: 884,011.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,209 : 403,538 = 403,538 : x
  2. Step 2: Convert to fraction form
    184,209/403,538 = 403,538/x
  3. Step 3: Cross multiply
    184,209x = 403,538 × 403,538
  4. Step 4: Simplify right side
    184,209x = 162,842,917,444
  5. Step 5: Solve for x
    x = 162,842,917,444/184,209
  6. Step 6: Final answer
    x = 884,011.73

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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.