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Finding the Third Proportional to 462,993 and 695,722

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Solution

The third proportional to 462,993 and 695,722 is: 1,045,435.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,993 : 695,722 = 695,722 : x
  2. Step 2: Convert to fraction form
    462,993/695,722 = 695,722/x
  3. Step 3: Cross multiply
    462,993x = 695,722 × 695,722
  4. Step 4: Simplify right side
    462,993x = 484,029,101,284
  5. Step 5: Solve for x
    x = 484,029,101,284/462,993
  6. Step 6: Final answer
    x = 1,045,435.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.