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Finding the Third Proportional to 456,451.88 and 700,079.63

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Solution

The third proportional to 456,451.88 and 700,079.63 is: 1,073,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,451.88 : 700,079.63 = 700,079.63 : x
  2. Step 2: Convert to fraction form
    456,451.88/700,079.63 = 700,079.63/x
  3. Step 3: Cross multiply
    456,451.88x = 700,079.63 × 700,079.63
  4. Step 4: Simplify right side
    456,451.88x = 490,111,481,340.14
  5. Step 5: Solve for x
    x = 490,111,481,340.14/456,451.88
  6. Step 6: Final answer
    x = 1,073,741.85

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.