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Finding the Third Proportional to 467,080 and 665,628

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Solution

The third proportional to 467,080 and 665,628 is: 948,575.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,080 : 665,628 = 665,628 : x
  2. Step 2: Convert to fraction form
    467,080/665,628 = 665,628/x
  3. Step 3: Cross multiply
    467,080x = 665,628 × 665,628
  4. Step 4: Simplify right side
    467,080x = 443,060,634,384
  5. Step 5: Solve for x
    x = 443,060,634,384/467,080
  6. Step 6: Final answer
    x = 948,575.48

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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.