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Finding the Third Proportional to 582,192 and 925,776

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Solution

The third proportional to 582,192 and 925,776 is: 1,472,128.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,192 : 925,776 = 925,776 : x
  2. Step 2: Convert to fraction form
    582,192/925,776 = 925,776/x
  3. Step 3: Cross multiply
    582,192x = 925,776 × 925,776
  4. Step 4: Simplify right side
    582,192x = 857,061,202,176
  5. Step 5: Solve for x
    x = 857,061,202,176/582,192
  6. Step 6: Final answer
    x = 1,472,128.10

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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.