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Finding the Third Proportional to 433,030.50 and 680,244.75

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Solution

The third proportional to 433,030.50 and 680,244.75 is: 1,068,591.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,030.50 : 680,244.75 = 680,244.75 : x
  2. Step 2: Convert to fraction form
    433,030.50/680,244.75 = 680,244.75/x
  3. Step 3: Cross multiply
    433,030.50x = 680,244.75 × 680,244.75
  4. Step 4: Simplify right side
    433,030.50x = 462,732,919,902.56
  5. Step 5: Solve for x
    x = 462,732,919,902.56/433,030.50
  6. Step 6: Final answer
    x = 1,068,591.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.