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Finding the Third Proportional to 582,194 and 925,779

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Solution

The third proportional to 582,194 and 925,779 is: 1,472,132.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,194 : 925,779 = 925,779 : x
  2. Step 2: Convert to fraction form
    582,194/925,779 = 925,779/x
  3. Step 3: Cross multiply
    582,194x = 925,779 × 925,779
  4. Step 4: Simplify right side
    582,194x = 857,066,756,841
  5. Step 5: Solve for x
    x = 857,066,756,841/582,194
  6. Step 6: Final answer
    x = 1,472,132.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.