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Finding the Third Proportional to 199,689 and 435,970

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Solution

The third proportional to 199,689 and 435,970 is: 951,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,689 : 435,970 = 435,970 : x
  2. Step 2: Convert to fraction form
    199,689/435,970 = 435,970/x
  3. Step 3: Cross multiply
    199,689x = 435,970 × 435,970
  4. Step 4: Simplify right side
    199,689x = 190,069,840,900
  5. Step 5: Solve for x
    x = 190,069,840,900/199,689
  6. Step 6: Final answer
    x = 951,829.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.