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Finding the Third Proportional to 199,634.63 and 435,397.50

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Solution

The third proportional to 199,634.63 and 435,397.50 is: 949,589.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,634.63 : 435,397.50 = 435,397.50 : x
  2. Step 2: Convert to fraction form
    199,634.63/435,397.50 = 435,397.50/x
  3. Step 3: Cross multiply
    199,634.63x = 435,397.50 × 435,397.50
  4. Step 4: Simplify right side
    199,634.63x = 189,570,983,006.25
  5. Step 5: Solve for x
    x = 189,570,983,006.25/199,634.63
  6. Step 6: Final answer
    x = 949,589.70

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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.