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Finding the Third Proportional to 198,465 and 468,426

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Solution

The third proportional to 198,465 and 468,426 is: 1,105,600.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,465 : 468,426 = 468,426 : x
  2. Step 2: Convert to fraction form
    198,465/468,426 = 468,426/x
  3. Step 3: Cross multiply
    198,465x = 468,426 × 468,426
  4. Step 4: Simplify right side
    198,465x = 219,422,917,476
  5. Step 5: Solve for x
    x = 219,422,917,476/198,465
  6. Step 6: Final answer
    x = 1,105,600.07

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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.