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Finding the Third Proportional to 284,291,540 and 429,936,512

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Solution

The third proportional to 284,291,540 and 429,936,512 is: 650,196,640.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,291,540 : 429,936,512 = 429,936,512 : x
  2. Step 2: Convert to fraction form
    284,291,540/429,936,512 = 429,936,512/x
  3. Step 3: Cross multiply
    284,291,540x = 429,936,512 × 429,936,512
  4. Step 4: Simplify right side
    284,291,540x = 184,845,404,350,726,144
  5. Step 5: Solve for x
    x = 184,845,404,350,726,144/284,291,540
  6. Step 6: Final answer
    x = 650,196,640.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.