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Finding the Third Proportional to 296,180 and 423,243

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Solution

The third proportional to 296,180 and 423,243 is: 604,816.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,180 : 423,243 = 423,243 : x
  2. Step 2: Convert to fraction form
    296,180/423,243 = 423,243/x
  3. Step 3: Cross multiply
    296,180x = 423,243 × 423,243
  4. Step 4: Simplify right side
    296,180x = 179,134,637,049
  5. Step 5: Solve for x
    x = 179,134,637,049/296,180
  6. Step 6: Final answer
    x = 604,816.79

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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.