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Finding the Third Proportional to 472,797 and 707,524.88

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Solution

The third proportional to 472,797 and 707,524.88 is: 1,058,787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,797 : 707,524.88 = 707,524.88 : x
  2. Step 2: Convert to fraction form
    472,797/707,524.88 = 707,524.88/x
  3. Step 3: Cross multiply
    472,797x = 707,524.88 × 707,524.88
  4. Step 4: Simplify right side
    472,797x = 500,591,448,743.77
  5. Step 5: Solve for x
    x = 500,591,448,743.77/472,797
  6. Step 6: Final answer
    x = 1,058,787.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.