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Finding the Third Proportional to 240,752 and 374,532

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Solution

The third proportional to 240,752 and 374,532 is: 582,650.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,752 : 374,532 = 374,532 : x
  2. Step 2: Convert to fraction form
    240,752/374,532 = 374,532/x
  3. Step 3: Cross multiply
    240,752x = 374,532 × 374,532
  4. Step 4: Simplify right side
    240,752x = 140,274,219,024
  5. Step 5: Solve for x
    x = 140,274,219,024/240,752
  6. Step 6: Final answer
    x = 582,650.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.