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Finding the Third Proportional to 455,452.88 and 680,670

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Solution

The third proportional to 455,452.88 and 680,670 is: 1,017,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,452.88 : 680,670 = 680,670 : x
  2. Step 2: Convert to fraction form
    455,452.88/680,670 = 680,670/x
  3. Step 3: Cross multiply
    455,452.88x = 680,670 × 680,670
  4. Step 4: Simplify right side
    455,452.88x = 463,311,648,900
  5. Step 5: Solve for x
    x = 463,311,648,900/455,452.88
  6. Step 6: Final answer
    x = 1,017,254.86

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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.