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Finding the Third Proportional to 455,454.56 and 680,671.69

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Solution

The third proportional to 455,454.56 and 680,671.69 is: 1,017,256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,454.56 : 680,671.69 = 680,671.69 : x
  2. Step 2: Convert to fraction form
    455,454.56/680,671.69 = 680,671.69/x
  3. Step 3: Cross multiply
    455,454.56x = 680,671.69 × 680,671.69
  4. Step 4: Simplify right side
    455,454.56x = 463,313,946,164.10
  5. Step 5: Solve for x
    x = 463,313,946,164.10/455,454.56
  6. Step 6: Final answer
    x = 1,017,256.13

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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.