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Finding the Third Proportional to 479,538 and 703,755

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Solution

The third proportional to 479,538 and 703,755 is: 1,032,808.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,538 : 703,755 = 703,755 : x
  2. Step 2: Convert to fraction form
    479,538/703,755 = 703,755/x
  3. Step 3: Cross multiply
    479,538x = 703,755 × 703,755
  4. Step 4: Simplify right side
    479,538x = 495,271,100,025
  5. Step 5: Solve for x
    x = 495,271,100,025/479,538
  6. Step 6: Final answer
    x = 1,032,808.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.