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Finding the Third Proportional to 468,069 and 706,236

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Solution

The third proportional to 468,069 and 706,236 is: 1,065,589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,069 : 706,236 = 706,236 : x
  2. Step 2: Convert to fraction form
    468,069/706,236 = 706,236/x
  3. Step 3: Cross multiply
    468,069x = 706,236 × 706,236
  4. Step 4: Simplify right side
    468,069x = 498,769,287,696
  5. Step 5: Solve for x
    x = 498,769,287,696/468,069
  6. Step 6: Final answer
    x = 1,065,589.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.