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Finding the Third Proportional to 431,025.75 and 936,729

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Solution

The third proportional to 431,025.75 and 936,729 is: 2,035,751.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,025.75 : 936,729 = 936,729 : x
  2. Step 2: Convert to fraction form
    431,025.75/936,729 = 936,729/x
  3. Step 3: Cross multiply
    431,025.75x = 936,729 × 936,729
  4. Step 4: Simplify right side
    431,025.75x = 877,461,219,441
  5. Step 5: Solve for x
    x = 877,461,219,441/431,025.75
  6. Step 6: Final answer
    x = 2,035,751.27

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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.