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Finding the Third Proportional to 466,786.13 and 697,191.75

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Solution

The third proportional to 466,786.13 and 697,191.75 is: 1,041,325.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,786.13 : 697,191.75 = 697,191.75 : x
  2. Step 2: Convert to fraction form
    466,786.13/697,191.75 = 697,191.75/x
  3. Step 3: Cross multiply
    466,786.13x = 697,191.75 × 697,191.75
  4. Step 4: Simplify right side
    466,786.13x = 486,076,336,268.06
  5. Step 5: Solve for x
    x = 486,076,336,268.06/466,786.13
  6. Step 6: Final answer
    x = 1,041,325.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.