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Finding the Third Proportional to 455,414.91 and 668,358.84

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Solution

The third proportional to 455,414.91 and 668,358.84 is: 980,871.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,414.91 : 668,358.84 = 668,358.84 : x
  2. Step 2: Convert to fraction form
    455,414.91/668,358.84 = 668,358.84/x
  3. Step 3: Cross multiply
    455,414.91x = 668,358.84 × 668,358.84
  4. Step 4: Simplify right side
    455,414.91x = 446,703,544,018.84
  5. Step 5: Solve for x
    x = 446,703,544,018.84/455,414.91
  6. Step 6: Final answer
    x = 980,871.59

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.