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Finding the Third Proportional to 199,632 and 432,492

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Solution

The third proportional to 199,632 and 432,492 is: 936,970.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,632 : 432,492 = 432,492 : x
  2. Step 2: Convert to fraction form
    199,632/432,492 = 432,492/x
  3. Step 3: Cross multiply
    199,632x = 432,492 × 432,492
  4. Step 4: Simplify right side
    199,632x = 187,049,330,064
  5. Step 5: Solve for x
    x = 187,049,330,064/199,632
  6. Step 6: Final answer
    x = 936,970.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.