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Finding the Third Proportional to 658,832 and 963,114

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Solution

The third proportional to 658,832 and 963,114 is: 1,407,928.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,832 : 963,114 = 963,114 : x
  2. Step 2: Convert to fraction form
    658,832/963,114 = 963,114/x
  3. Step 3: Cross multiply
    658,832x = 963,114 × 963,114
  4. Step 4: Simplify right side
    658,832x = 927,588,576,996
  5. Step 5: Solve for x
    x = 927,588,576,996/658,832
  6. Step 6: Final answer
    x = 1,407,928.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.