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Finding the Third Proportional to 436,305 and 640,093.50

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Solution

The third proportional to 436,305 and 640,093.50 is: 939,067.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,305 : 640,093.50 = 640,093.50 : x
  2. Step 2: Convert to fraction form
    436,305/640,093.50 = 640,093.50/x
  3. Step 3: Cross multiply
    436,305x = 640,093.50 × 640,093.50
  4. Step 4: Simplify right side
    436,305x = 409,719,688,742.25
  5. Step 5: Solve for x
    x = 409,719,688,742.25/436,305
  6. Step 6: Final answer
    x = 939,067.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.