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Finding the Third Proportional to 455,445 and 680,658.75

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Solution

The third proportional to 455,445 and 680,658.75 is: 1,017,238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,445 : 680,658.75 = 680,658.75 : x
  2. Step 2: Convert to fraction form
    455,445/680,658.75 = 680,658.75/x
  3. Step 3: Cross multiply
    455,445x = 680,658.75 × 680,658.75
  4. Step 4: Simplify right side
    455,445x = 463,296,333,951.56
  5. Step 5: Solve for x
    x = 463,296,333,951.56/455,445
  6. Step 6: Final answer
    x = 1,017,238.82

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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.