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Finding the Third Proportional to 198,459 and 432,558

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Solution

The third proportional to 198,459 and 432,558 is: 942,796.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,459 : 432,558 = 432,558 : x
  2. Step 2: Convert to fraction form
    198,459/432,558 = 432,558/x
  3. Step 3: Cross multiply
    198,459x = 432,558 × 432,558
  4. Step 4: Simplify right side
    198,459x = 187,106,423,364
  5. Step 5: Solve for x
    x = 187,106,423,364/198,459
  6. Step 6: Final answer
    x = 942,796.36

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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.