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Finding the Third Proportional to 199,735 and 432,706

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Solution

The third proportional to 199,735 and 432,706 is: 937,414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,735 : 432,706 = 432,706 : x
  2. Step 2: Convert to fraction form
    199,735/432,706 = 432,706/x
  3. Step 3: Cross multiply
    199,735x = 432,706 × 432,706
  4. Step 4: Simplify right side
    199,735x = 187,234,482,436
  5. Step 5: Solve for x
    x = 187,234,482,436/199,735
  6. Step 6: Final answer
    x = 937,414.49

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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.