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Finding the Third Proportional to 431,048.25 and 936,711

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Solution

The third proportional to 431,048.25 and 936,711 is: 2,035,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,048.25 : 936,711 = 936,711 : x
  2. Step 2: Convert to fraction form
    431,048.25/936,711 = 936,711/x
  3. Step 3: Cross multiply
    431,048.25x = 936,711 × 936,711
  4. Step 4: Simplify right side
    431,048.25x = 877,427,497,521
  5. Step 5: Solve for x
    x = 877,427,497,521/431,048.25
  6. Step 6: Final answer
    x = 2,035,566.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.