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Finding the Third Proportional to 244,698 and 362,499

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Solution

The third proportional to 244,698 and 362,499 is: 537,011.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,698 : 362,499 = 362,499 : x
  2. Step 2: Convert to fraction form
    244,698/362,499 = 362,499/x
  3. Step 3: Cross multiply
    244,698x = 362,499 × 362,499
  4. Step 4: Simplify right side
    244,698x = 131,405,525,001
  5. Step 5: Solve for x
    x = 131,405,525,001/244,698
  6. Step 6: Final answer
    x = 537,011.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.