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Finding the Third Proportional to 435,384 and 959,076

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Solution

The third proportional to 435,384 and 959,076 is: 2,112,679.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,384 : 959,076 = 959,076 : x
  2. Step 2: Convert to fraction form
    435,384/959,076 = 959,076/x
  3. Step 3: Cross multiply
    435,384x = 959,076 × 959,076
  4. Step 4: Simplify right side
    435,384x = 919,826,773,776
  5. Step 5: Solve for x
    x = 919,826,773,776/435,384
  6. Step 6: Final answer
    x = 2,112,679.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.