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Finding the Third Proportional to 198,495 and 468,504

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Solution

The third proportional to 198,495 and 468,504 is: 1,105,801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,495 : 468,504 = 468,504 : x
  2. Step 2: Convert to fraction form
    198,495/468,504 = 468,504/x
  3. Step 3: Cross multiply
    198,495x = 468,504 × 468,504
  4. Step 4: Simplify right side
    198,495x = 219,495,998,016
  5. Step 5: Solve for x
    x = 219,495,998,016/198,495
  6. Step 6: Final answer
    x = 1,105,801.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.