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Finding the Third Proportional to 199,464 and 430,632

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Solution

The third proportional to 199,464 and 430,632 is: 929,711.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,464 : 430,632 = 430,632 : x
  2. Step 2: Convert to fraction form
    199,464/430,632 = 430,632/x
  3. Step 3: Cross multiply
    199,464x = 430,632 × 430,632
  4. Step 4: Simplify right side
    199,464x = 185,443,919,424
  5. Step 5: Solve for x
    x = 185,443,919,424/199,464
  6. Step 6: Final answer
    x = 929,711.22

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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.