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Finding the Third Proportional to 502,796.25 and 703,314

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Solution

The third proportional to 502,796.25 and 703,314 is: 983,799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,796.25 : 703,314 = 703,314 : x
  2. Step 2: Convert to fraction form
    502,796.25/703,314 = 703,314/x
  3. Step 3: Cross multiply
    502,796.25x = 703,314 × 703,314
  4. Step 4: Simplify right side
    502,796.25x = 494,650,582,596
  5. Step 5: Solve for x
    x = 494,650,582,596/502,796.25
  6. Step 6: Final answer
    x = 983,799.27

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.