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Finding the Third Proportional to 432,300.80 and 939,352.57

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Solution

The third proportional to 432,300.80 and 939,352.57 is: 2,041,132.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,300.80 : 939,352.57 = 939,352.57 : x
  2. Step 2: Convert to fraction form
    432,300.80/939,352.57 = 939,352.57/x
  3. Step 3: Cross multiply
    432,300.80x = 939,352.57 × 939,352.57
  4. Step 4: Simplify right side
    432,300.80x = 882,383,251,352.70
  5. Step 5: Solve for x
    x = 882,383,251,352.70/432,300.80
  6. Step 6: Final answer
    x = 2,041,132.60

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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.