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Finding the Third Proportional to 406,354.50 and 934,562.25

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Solution

The third proportional to 406,354.50 and 934,562.25 is: 2,149,371.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,354.50 : 934,562.25 = 934,562.25 : x
  2. Step 2: Convert to fraction form
    406,354.50/934,562.25 = 934,562.25/x
  3. Step 3: Cross multiply
    406,354.50x = 934,562.25 × 934,562.25
  4. Step 4: Simplify right side
    406,354.50x = 873,406,599,125.06
  5. Step 5: Solve for x
    x = 873,406,599,125.06/406,354.50
  6. Step 6: Final answer
    x = 2,149,371.05

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.