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Finding the Third Proportional to 199,516 and 430,685

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Solution

The third proportional to 199,516 and 430,685 is: 929,697.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,516 : 430,685 = 430,685 : x
  2. Step 2: Convert to fraction form
    199,516/430,685 = 430,685/x
  3. Step 3: Cross multiply
    199,516x = 430,685 × 430,685
  4. Step 4: Simplify right side
    199,516x = 185,489,569,225
  5. Step 5: Solve for x
    x = 185,489,569,225/199,516
  6. Step 6: Final answer
    x = 929,697.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.