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Finding the Third Proportional to 383,966.58 and 853,157.81

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Solution

The third proportional to 383,966.58 and 853,157.81 is: 1,895,681.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,966.58 : 853,157.81 = 853,157.81 : x
  2. Step 2: Convert to fraction form
    383,966.58/853,157.81 = 853,157.81/x
  3. Step 3: Cross multiply
    383,966.58x = 853,157.81 × 853,157.81
  4. Step 4: Simplify right side
    383,966.58x = 727,878,253,029.79
  5. Step 5: Solve for x
    x = 727,878,253,029.79/383,966.58
  6. Step 6: Final answer
    x = 1,895,681.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.