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Finding the Third Proportional to 457,246.13 and 703,091.63

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Solution

The third proportional to 457,246.13 and 703,091.63 is: 1,081,119.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,246.13 : 703,091.63 = 703,091.63 : x
  2. Step 2: Convert to fraction form
    457,246.13/703,091.63 = 703,091.63/x
  3. Step 3: Cross multiply
    457,246.13x = 703,091.63 × 703,091.63
  4. Step 4: Simplify right side
    457,246.13x = 494,337,833,145.14
  5. Step 5: Solve for x
    x = 494,337,833,145.14/457,246.13
  6. Step 6: Final answer
    x = 1,081,119.79

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.