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Finding the Third Proportional to 374,918 and 535,753

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Solution

The third proportional to 374,918 and 535,753 is: 765,584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,918 : 535,753 = 535,753 : x
  2. Step 2: Convert to fraction form
    374,918/535,753 = 535,753/x
  3. Step 3: Cross multiply
    374,918x = 535,753 × 535,753
  4. Step 4: Simplify right side
    374,918x = 287,031,277,009
  5. Step 5: Solve for x
    x = 287,031,277,009/374,918
  6. Step 6: Final answer
    x = 765,584.15

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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.