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Finding the Third Proportional to 582,196 and 925,781

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Solution

The third proportional to 582,196 and 925,781 is: 1,472,133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,196 : 925,781 = 925,781 : x
  2. Step 2: Convert to fraction form
    582,196/925,781 = 925,781/x
  3. Step 3: Cross multiply
    582,196x = 925,781 × 925,781
  4. Step 4: Simplify right side
    582,196x = 857,070,459,961
  5. Step 5: Solve for x
    x = 857,070,459,961/582,196
  6. Step 6: Final answer
    x = 1,472,133.89

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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.