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Finding the Third Proportional to 529,634 and 680,036

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Solution

The third proportional to 529,634 and 680,036 is: 873,148.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,634 : 680,036 = 680,036 : x
  2. Step 2: Convert to fraction form
    529,634/680,036 = 680,036/x
  3. Step 3: Cross multiply
    529,634x = 680,036 × 680,036
  4. Step 4: Simplify right side
    529,634x = 462,448,961,296
  5. Step 5: Solve for x
    x = 462,448,961,296/529,634
  6. Step 6: Final answer
    x = 873,148.18

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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.