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Finding the Third Proportional to 582,194 and 925,778

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Solution

The third proportional to 582,194 and 925,778 is: 1,472,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,194 : 925,778 = 925,778 : x
  2. Step 2: Convert to fraction form
    582,194/925,778 = 925,778/x
  3. Step 3: Cross multiply
    582,194x = 925,778 × 925,778
  4. Step 4: Simplify right side
    582,194x = 857,064,905,284
  5. Step 5: Solve for x
    x = 857,064,905,284/582,194
  6. Step 6: Final answer
    x = 1,472,129.40

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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.