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Finding the Third Proportional to 210,762 and 374,742

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Solution

The third proportional to 210,762 and 374,742 is: 666,304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,762 : 374,742 = 374,742 : x
  2. Step 2: Convert to fraction form
    210,762/374,742 = 374,742/x
  3. Step 3: Cross multiply
    210,762x = 374,742 × 374,742
  4. Step 4: Simplify right side
    210,762x = 140,431,566,564
  5. Step 5: Solve for x
    x = 140,431,566,564/210,762
  6. Step 6: Final answer
    x = 666,304.01

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.