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Finding the Third Proportional to 529,080 and 794,827

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Solution

The third proportional to 529,080 and 794,827 is: 1,194,053.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,080 : 794,827 = 794,827 : x
  2. Step 2: Convert to fraction form
    529,080/794,827 = 794,827/x
  3. Step 3: Cross multiply
    529,080x = 794,827 × 794,827
  4. Step 4: Simplify right side
    529,080x = 631,749,959,929
  5. Step 5: Solve for x
    x = 631,749,959,929/529,080
  6. Step 6: Final answer
    x = 1,194,053.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.