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Finding the Third Proportional to 298,722 and 473,241

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Solution

The third proportional to 298,722 and 473,241 is: 749,717.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,722 : 473,241 = 473,241 : x
  2. Step 2: Convert to fraction form
    298,722/473,241 = 473,241/x
  3. Step 3: Cross multiply
    298,722x = 473,241 × 473,241
  4. Step 4: Simplify right side
    298,722x = 223,957,044,081
  5. Step 5: Solve for x
    x = 223,957,044,081/298,722
  6. Step 6: Final answer
    x = 749,717.28

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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.