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Finding the Third Proportional to 430,973 and 682,089

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Solution

The third proportional to 430,973 and 682,089 is: 1,079,523.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,973 : 682,089 = 682,089 : x
  2. Step 2: Convert to fraction form
    430,973/682,089 = 682,089/x
  3. Step 3: Cross multiply
    430,973x = 682,089 × 682,089
  4. Step 4: Simplify right side
    430,973x = 465,245,403,921
  5. Step 5: Solve for x
    x = 465,245,403,921/430,973
  6. Step 6: Final answer
    x = 1,079,523.32

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.