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Finding the Third Proportional to 462,813 and 699,153

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Solution

The third proportional to 462,813 and 699,153 is: 1,056,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,813 : 699,153 = 699,153 : x
  2. Step 2: Convert to fraction form
    462,813/699,153 = 699,153/x
  3. Step 3: Cross multiply
    462,813x = 699,153 × 699,153
  4. Step 4: Simplify right side
    462,813x = 488,814,917,409
  5. Step 5: Solve for x
    x = 488,814,917,409/462,813
  6. Step 6: Final answer
    x = 1,056,182.34

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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.