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Finding the Third Proportional to 198,604 and 468,428

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Solution

The third proportional to 198,604 and 468,428 is: 1,104,835.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,604 : 468,428 = 468,428 : x
  2. Step 2: Convert to fraction form
    198,604/468,428 = 468,428/x
  3. Step 3: Cross multiply
    198,604x = 468,428 × 468,428
  4. Step 4: Simplify right side
    198,604x = 219,424,791,184
  5. Step 5: Solve for x
    x = 219,424,791,184/198,604
  6. Step 6: Final answer
    x = 1,104,835.71

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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.