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Finding the Third Proportional to 595,149.75 and 905,181.75

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Solution

The third proportional to 595,149.75 and 905,181.75 is: 1,376,719.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,149.75 : 905,181.75 = 905,181.75 : x
  2. Step 2: Convert to fraction form
    595,149.75/905,181.75 = 905,181.75/x
  3. Step 3: Cross multiply
    595,149.75x = 905,181.75 × 905,181.75
  4. Step 4: Simplify right side
    595,149.75x = 819,354,000,533.06
  5. Step 5: Solve for x
    x = 819,354,000,533.06/595,149.75
  6. Step 6: Final answer
    x = 1,376,719.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.