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Finding the Third Proportional to 582,425.44 and 903,914.44

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Solution

The third proportional to 582,425.44 and 903,914.44 is: 1,402,859.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,425.44 : 903,914.44 = 903,914.44 : x
  2. Step 2: Convert to fraction form
    582,425.44/903,914.44 = 903,914.44/x
  3. Step 3: Cross multiply
    582,425.44x = 903,914.44 × 903,914.44
  4. Step 4: Simplify right side
    582,425.44x = 817,061,310,320.94
  5. Step 5: Solve for x
    x = 817,061,310,320.94/582,425.44
  6. Step 6: Final answer
    x = 1,402,859.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.