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Finding the Third Proportional to 214,830.98 and 472,562.86

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Solution

The third proportional to 214,830.98 and 472,562.86 is: 1,039,494.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,830.98 : 472,562.86 = 472,562.86 : x
  2. Step 2: Convert to fraction form
    214,830.98/472,562.86 = 472,562.86/x
  3. Step 3: Cross multiply
    214,830.98x = 472,562.86 × 472,562.86
  4. Step 4: Simplify right side
    214,830.98x = 223,315,656,060.68
  5. Step 5: Solve for x
    x = 223,315,656,060.68/214,830.98
  6. Step 6: Final answer
    x = 1,039,494.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.