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Finding the Third Proportional to 435,814.50 and 944,014.25

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Solution

The third proportional to 435,814.50 and 944,014.25 is: 2,044,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,814.50 : 944,014.25 = 944,014.25 : x
  2. Step 2: Convert to fraction form
    435,814.50/944,014.25 = 944,014.25/x
  3. Step 3: Cross multiply
    435,814.50x = 944,014.25 × 944,014.25
  4. Step 4: Simplify right side
    435,814.50x = 891,162,904,203.06
  5. Step 5: Solve for x
    x = 891,162,904,203.06/435,814.50
  6. Step 6: Final answer
    x = 2,044,821.60

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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.