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Finding the Third Proportional to 502,770.38 and 703,277.44

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Solution

The third proportional to 502,770.38 and 703,277.44 is: 983,747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,770.38 : 703,277.44 = 703,277.44 : x
  2. Step 2: Convert to fraction form
    502,770.38/703,277.44 = 703,277.44/x
  3. Step 3: Cross multiply
    502,770.38x = 703,277.44 × 703,277.44
  4. Step 4: Simplify right side
    502,770.38x = 494,599,154,096.57
  5. Step 5: Solve for x
    x = 494,599,154,096.57/502,770.38
  6. Step 6: Final answer
    x = 983,747.61

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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.