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Finding the Third Proportional to 435,813.75 and 944,012.25

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Solution

The third proportional to 435,813.75 and 944,012.25 is: 2,044,816.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,813.75 : 944,012.25 = 944,012.25 : x
  2. Step 2: Convert to fraction form
    435,813.75/944,012.25 = 944,012.25/x
  3. Step 3: Cross multiply
    435,813.75x = 944,012.25 × 944,012.25
  4. Step 4: Simplify right side
    435,813.75x = 891,159,128,150.06
  5. Step 5: Solve for x
    x = 891,159,128,150.06/435,813.75
  6. Step 6: Final answer
    x = 2,044,816.46

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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.