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Finding the Third Proportional to 184,480 and 403,465

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Solution

The third proportional to 184,480 and 403,465 is: 882,393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,480 : 403,465 = 403,465 : x
  2. Step 2: Convert to fraction form
    184,480/403,465 = 403,465/x
  3. Step 3: Cross multiply
    184,480x = 403,465 × 403,465
  4. Step 4: Simplify right side
    184,480x = 162,784,006,225
  5. Step 5: Solve for x
    x = 162,784,006,225/184,480
  6. Step 6: Final answer
    x = 882,393.79

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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.