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Finding the Third Proportional to 210,752 and 374,726

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Solution

The third proportional to 210,752 and 374,726 is: 666,278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,752 : 374,726 = 374,726 : x
  2. Step 2: Convert to fraction form
    210,752/374,726 = 374,726/x
  3. Step 3: Cross multiply
    210,752x = 374,726 × 374,726
  4. Step 4: Simplify right side
    210,752x = 140,419,575,076
  5. Step 5: Solve for x
    x = 140,419,575,076/210,752
  6. Step 6: Final answer
    x = 666,278.73

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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.