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Finding the Third Proportional to 587,899.50 and 859,164.75

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Solution

The third proportional to 587,899.50 and 859,164.75 is: 1,255,595.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,899.50 : 859,164.75 = 859,164.75 : x
  2. Step 2: Convert to fraction form
    587,899.50/859,164.75 = 859,164.75/x
  3. Step 3: Cross multiply
    587,899.50x = 859,164.75 × 859,164.75
  4. Step 4: Simplify right side
    587,899.50x = 738,164,067,642.56
  5. Step 5: Solve for x
    x = 738,164,067,642.56/587,899.50
  6. Step 6: Final answer
    x = 1,255,595.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.