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Finding the Third Proportional to 410,408 and 884,032

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Solution

The third proportional to 410,408 and 884,032 is: 1,904,233.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,408 : 884,032 = 884,032 : x
  2. Step 2: Convert to fraction form
    410,408/884,032 = 884,032/x
  3. Step 3: Cross multiply
    410,408x = 884,032 × 884,032
  4. Step 4: Simplify right side
    410,408x = 781,512,577,024
  5. Step 5: Solve for x
    x = 781,512,577,024/410,408
  6. Step 6: Final answer
    x = 1,904,233.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.