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Finding the Third Proportional to 455,441.63 and 680,653.13

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Solution

The third proportional to 455,441.63 and 680,653.13 is: 1,017,229.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,441.63 : 680,653.13 = 680,653.13 : x
  2. Step 2: Convert to fraction form
    455,441.63/680,653.13 = 680,653.13/x
  3. Step 3: Cross multiply
    455,441.63x = 680,653.13 × 680,653.13
  4. Step 4: Simplify right side
    455,441.63x = 463,288,676,572.27
  5. Step 5: Solve for x
    x = 463,288,676,572.27/455,441.63
  6. Step 6: Final answer
    x = 1,017,229.54

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Why These Related Problems?

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