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Finding the Third Proportional to 298,693 and 473,198

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Solution

The third proportional to 298,693 and 473,198 is: 749,653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,693 : 473,198 = 473,198 : x
  2. Step 2: Convert to fraction form
    298,693/473,198 = 473,198/x
  3. Step 3: Cross multiply
    298,693x = 473,198 × 473,198
  4. Step 4: Simplify right side
    298,693x = 223,916,347,204
  5. Step 5: Solve for x
    x = 223,916,347,204/298,693
  6. Step 6: Final answer
    x = 749,653.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.