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Finding the Third Proportional to 291,793 and 634,711

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Solution

The third proportional to 291,793 and 634,711 is: 1,380,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,793 : 634,711 = 634,711 : x
  2. Step 2: Convert to fraction form
    291,793/634,711 = 634,711/x
  3. Step 3: Cross multiply
    291,793x = 634,711 × 634,711
  4. Step 4: Simplify right side
    291,793x = 402,858,053,521
  5. Step 5: Solve for x
    x = 402,858,053,521/291,793
  6. Step 6: Final answer
    x = 1,380,629.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.