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Finding the Third Proportional to 374,920 and 535,757

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Solution

The third proportional to 374,920 and 535,757 is: 765,591.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,920 : 535,757 = 535,757 : x
  2. Step 2: Convert to fraction form
    374,920/535,757 = 535,757/x
  3. Step 3: Cross multiply
    374,920x = 535,757 × 535,757
  4. Step 4: Simplify right side
    374,920x = 287,035,563,049
  5. Step 5: Solve for x
    x = 287,035,563,049/374,920
  6. Step 6: Final answer
    x = 765,591.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.