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Finding the Third Proportional to 529,636.50 and 680,037.75

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Solution

The third proportional to 529,636.50 and 680,037.75 is: 873,148.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,636.50 : 680,037.75 = 680,037.75 : x
  2. Step 2: Convert to fraction form
    529,636.50/680,037.75 = 680,037.75/x
  3. Step 3: Cross multiply
    529,636.50x = 680,037.75 × 680,037.75
  4. Step 4: Simplify right side
    529,636.50x = 462,451,341,425.06
  5. Step 5: Solve for x
    x = 462,451,341,425.06/529,636.50
  6. Step 6: Final answer
    x = 873,148.55

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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.