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Finding the Third Proportional to 426,649.50 and 914,021.50

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Solution

The third proportional to 426,649.50 and 914,021.50 is: 1,958,130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,649.50 : 914,021.50 = 914,021.50 : x
  2. Step 2: Convert to fraction form
    426,649.50/914,021.50 = 914,021.50/x
  3. Step 3: Cross multiply
    426,649.50x = 914,021.50 × 914,021.50
  4. Step 4: Simplify right side
    426,649.50x = 835,435,302,462.25
  5. Step 5: Solve for x
    x = 835,435,302,462.25/426,649.50
  6. Step 6: Final answer
    x = 1,958,130.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.