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Finding the Third Proportional to 502,769.25 and 703,275.75

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Solution

The third proportional to 502,769.25 and 703,275.75 is: 983,745.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,769.25 : 703,275.75 = 703,275.75 : x
  2. Step 2: Convert to fraction form
    502,769.25/703,275.75 = 703,275.75/x
  3. Step 3: Cross multiply
    502,769.25x = 703,275.75 × 703,275.75
  4. Step 4: Simplify right side
    502,769.25x = 494,596,780,538.06
  5. Step 5: Solve for x
    x = 494,596,780,538.06/502,769.25
  6. Step 6: Final answer
    x = 983,745.09

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Why These Related Problems?

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