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Finding the Third Proportional to 264,860.81 and 574,873.50

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Solution

The third proportional to 264,860.81 and 574,873.50 is: 1,247,747.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,860.81 : 574,873.50 = 574,873.50 : x
  2. Step 2: Convert to fraction form
    264,860.81/574,873.50 = 574,873.50/x
  3. Step 3: Cross multiply
    264,860.81x = 574,873.50 × 574,873.50
  4. Step 4: Simplify right side
    264,860.81x = 330,479,541,002.25
  5. Step 5: Solve for x
    x = 330,479,541,002.25/264,860.81
  6. Step 6: Final answer
    x = 1,247,747.97

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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.