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Finding the Third Proportional to 296,222 and 423,301

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Solution

The third proportional to 296,222 and 423,301 is: 604,896.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,222 : 423,301 = 423,301 : x
  2. Step 2: Convert to fraction form
    296,222/423,301 = 423,301/x
  3. Step 3: Cross multiply
    296,222x = 423,301 × 423,301
  4. Step 4: Simplify right side
    296,222x = 179,183,736,601
  5. Step 5: Solve for x
    x = 179,183,736,601/296,222
  6. Step 6: Final answer
    x = 604,896.79

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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.