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Finding the Third Proportional to 582,271.50 and 925,896

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Solution

The third proportional to 582,271.50 and 925,896 is: 1,472,308.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,271.50 : 925,896 = 925,896 : x
  2. Step 2: Convert to fraction form
    582,271.50/925,896 = 925,896/x
  3. Step 3: Cross multiply
    582,271.50x = 925,896 × 925,896
  4. Step 4: Simplify right side
    582,271.50x = 857,283,402,816
  5. Step 5: Solve for x
    x = 857,283,402,816/582,271.50
  6. Step 6: Final answer
    x = 1,472,308.71

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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.