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Finding the Third Proportional to 529,044.75 and 756,236.25

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Solution

The third proportional to 529,044.75 and 756,236.25 is: 1,080,992.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,044.75 : 756,236.25 = 756,236.25 : x
  2. Step 2: Convert to fraction form
    529,044.75/756,236.25 = 756,236.25/x
  3. Step 3: Cross multiply
    529,044.75x = 756,236.25 × 756,236.25
  4. Step 4: Simplify right side
    529,044.75x = 571,893,265,814.06
  5. Step 5: Solve for x
    x = 571,893,265,814.06/529,044.75
  6. Step 6: Final answer
    x = 1,080,992.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.