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Finding the Third Proportional to 426,239.25 and 932,749.50

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Solution

The third proportional to 426,239.25 and 932,749.50 is: 2,041,157.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,239.25 : 932,749.50 = 932,749.50 : x
  2. Step 2: Convert to fraction form
    426,239.25/932,749.50 = 932,749.50/x
  3. Step 3: Cross multiply
    426,239.25x = 932,749.50 × 932,749.50
  4. Step 4: Simplify right side
    426,239.25x = 870,021,629,750.25
  5. Step 5: Solve for x
    x = 870,021,629,750.25/426,239.25
  6. Step 6: Final answer
    x = 2,041,157.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.