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Finding the Third Proportional to 297,321 and 423,837

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Solution

The third proportional to 297,321 and 423,837 is: 604,188.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,321 : 423,837 = 423,837 : x
  2. Step 2: Convert to fraction form
    297,321/423,837 = 423,837/x
  3. Step 3: Cross multiply
    297,321x = 423,837 × 423,837
  4. Step 4: Simplify right side
    297,321x = 179,637,802,569
  5. Step 5: Solve for x
    x = 179,637,802,569/297,321
  6. Step 6: Final answer
    x = 604,188.07

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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.