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Finding the Third Proportional to 432,003.38 and 581,559.75

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Solution

The third proportional to 432,003.38 and 581,559.75 is: 782,891.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,003.38 : 581,559.75 = 581,559.75 : x
  2. Step 2: Convert to fraction form
    432,003.38/581,559.75 = 581,559.75/x
  3. Step 3: Cross multiply
    432,003.38x = 581,559.75 × 581,559.75
  4. Step 4: Simplify right side
    432,003.38x = 338,211,742,820.06
  5. Step 5: Solve for x
    x = 338,211,742,820.06/432,003.38
  6. Step 6: Final answer
    x = 782,891.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.