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Finding the Third Proportional to 374,176 and 808,608

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Solution

The third proportional to 374,176 and 808,608 is: 1,747,431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,176 : 808,608 = 808,608 : x
  2. Step 2: Convert to fraction form
    374,176/808,608 = 808,608/x
  3. Step 3: Cross multiply
    374,176x = 808,608 × 808,608
  4. Step 4: Simplify right side
    374,176x = 653,846,897,664
  5. Step 5: Solve for x
    x = 653,846,897,664/374,176
  6. Step 6: Final answer
    x = 1,747,431.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.