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Finding the Third Proportional to 529,630 and 680,034

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Solution

The third proportional to 529,630 and 680,034 is: 873,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,630 : 680,034 = 680,034 : x
  2. Step 2: Convert to fraction form
    529,630/680,034 = 680,034/x
  3. Step 3: Cross multiply
    529,630x = 680,034 × 680,034
  4. Step 4: Simplify right side
    529,630x = 462,446,241,156
  5. Step 5: Solve for x
    x = 462,446,241,156/529,630
  6. Step 6: Final answer
    x = 873,149.63

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.