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Finding the Third Proportional to 582,272.75 and 925,897.75

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Solution

The third proportional to 582,272.75 and 925,897.75 is: 1,472,311.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,272.75 : 925,897.75 = 925,897.75 : x
  2. Step 2: Convert to fraction form
    582,272.75/925,897.75 = 925,897.75/x
  3. Step 3: Cross multiply
    582,272.75x = 925,897.75 × 925,897.75
  4. Step 4: Simplify right side
    582,272.75x = 857,286,643,455.06
  5. Step 5: Solve for x
    x = 857,286,643,455.06/582,272.75
  6. Step 6: Final answer
    x = 1,472,311.12

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