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Finding the Third Proportional to 460,738.13 and 697,546.69

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Solution

The third proportional to 460,738.13 and 697,546.69 is: 1,056,069.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,738.13 : 697,546.69 = 697,546.69 : x
  2. Step 2: Convert to fraction form
    460,738.13/697,546.69 = 697,546.69/x
  3. Step 3: Cross multiply
    460,738.13x = 697,546.69 × 697,546.69
  4. Step 4: Simplify right side
    460,738.13x = 486,571,381,242.22
  5. Step 5: Solve for x
    x = 486,571,381,242.22/460,738.13
  6. Step 6: Final answer
    x = 1,056,069.28

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