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Finding the Third Proportional to 184,485 and 403,461

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Solution

The third proportional to 184,485 and 403,461 is: 882,352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,485 : 403,461 = 403,461 : x
  2. Step 2: Convert to fraction form
    184,485/403,461 = 403,461/x
  3. Step 3: Cross multiply
    184,485x = 403,461 × 403,461
  4. Step 4: Simplify right side
    184,485x = 162,780,778,521
  5. Step 5: Solve for x
    x = 162,780,778,521/184,485
  6. Step 6: Final answer
    x = 882,352.38

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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.