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Finding the Third Proportional to 383,414.13 and 830,291.13

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Solution

The third proportional to 383,414.13 and 830,291.13 is: 1,798,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,414.13 : 830,291.13 = 830,291.13 : x
  2. Step 2: Convert to fraction form
    383,414.13/830,291.13 = 830,291.13/x
  3. Step 3: Cross multiply
    383,414.13x = 830,291.13 × 830,291.13
  4. Step 4: Simplify right side
    383,414.13x = 689,383,365,227.07
  5. Step 5: Solve for x
    x = 689,383,365,227.07/383,414.13
  6. Step 6: Final answer
    x = 1,798,012.40

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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.