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Finding the Third Proportional to 460,561.50 and 697,995

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Solution

The third proportional to 460,561.50 and 697,995 is: 1,057,832.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,561.50 : 697,995 = 697,995 : x
  2. Step 2: Convert to fraction form
    460,561.50/697,995 = 697,995/x
  3. Step 3: Cross multiply
    460,561.50x = 697,995 × 697,995
  4. Step 4: Simplify right side
    460,561.50x = 487,197,020,025
  5. Step 5: Solve for x
    x = 487,197,020,025/460,561.50
  6. Step 6: Final answer
    x = 1,057,832.71

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.