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Finding the Third Proportional to 303,492 and 437,160

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Solution

The third proportional to 303,492 and 437,160 is: 629,699.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,492 : 437,160 = 437,160 : x
  2. Step 2: Convert to fraction form
    303,492/437,160 = 437,160/x
  3. Step 3: Cross multiply
    303,492x = 437,160 × 437,160
  4. Step 4: Simplify right side
    303,492x = 191,108,865,600
  5. Step 5: Solve for x
    x = 191,108,865,600/303,492
  6. Step 6: Final answer
    x = 629,699.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.