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Finding the Third Proportional to 214,742.50 and 457,923

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Solution

The third proportional to 214,742.50 and 457,923 is: 976,488.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,742.50 : 457,923 = 457,923 : x
  2. Step 2: Convert to fraction form
    214,742.50/457,923 = 457,923/x
  3. Step 3: Cross multiply
    214,742.50x = 457,923 × 457,923
  4. Step 4: Simplify right side
    214,742.50x = 209,693,473,929
  5. Step 5: Solve for x
    x = 209,693,473,929/214,742.50
  6. Step 6: Final answer
    x = 976,488.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.