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Finding the Third Proportional to 433,030 and 680,244

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Solution

The third proportional to 433,030 and 680,244 is: 1,068,590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,030 : 680,244 = 680,244 : x
  2. Step 2: Convert to fraction form
    433,030/680,244 = 680,244/x
  3. Step 3: Cross multiply
    433,030x = 680,244 × 680,244
  4. Step 4: Simplify right side
    433,030x = 462,731,899,536
  5. Step 5: Solve for x
    x = 462,731,899,536/433,030
  6. Step 6: Final answer
    x = 1,068,590.86

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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.