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Finding the Third Proportional to 428,961 and 914,920.50

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Solution

The third proportional to 428,961 and 914,920.50 is: 1,951,411.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,961 : 914,920.50 = 914,920.50 : x
  2. Step 2: Convert to fraction form
    428,961/914,920.50 = 914,920.50/x
  3. Step 3: Cross multiply
    428,961x = 914,920.50 × 914,920.50
  4. Step 4: Simplify right side
    428,961x = 837,079,521,320.25
  5. Step 5: Solve for x
    x = 837,079,521,320.25/428,961
  6. Step 6: Final answer
    x = 1,951,411.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.