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Finding the Third Proportional to 634,311 and 951,264

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Solution

The third proportional to 634,311 and 951,264 is: 1,426,592.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,311 : 951,264 = 951,264 : x
  2. Step 2: Convert to fraction form
    634,311/951,264 = 951,264/x
  3. Step 3: Cross multiply
    634,311x = 951,264 × 951,264
  4. Step 4: Simplify right side
    634,311x = 904,903,197,696
  5. Step 5: Solve for x
    x = 904,903,197,696/634,311
  6. Step 6: Final answer
    x = 1,426,592.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.