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Finding the Third Proportional to 297,320 and 423,836

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Solution

The third proportional to 297,320 and 423,836 is: 604,187.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,320 : 423,836 = 423,836 : x
  2. Step 2: Convert to fraction form
    297,320/423,836 = 423,836/x
  3. Step 3: Cross multiply
    297,320x = 423,836 × 423,836
  4. Step 4: Simplify right side
    297,320x = 179,636,954,896
  5. Step 5: Solve for x
    x = 179,636,954,896/297,320
  6. Step 6: Final answer
    x = 604,187.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.