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Finding the Third Proportional to 211,249.50 and 458,931

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Solution

The third proportional to 211,249.50 and 458,931 is: 997,009.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,249.50 : 458,931 = 458,931 : x
  2. Step 2: Convert to fraction form
    211,249.50/458,931 = 458,931/x
  3. Step 3: Cross multiply
    211,249.50x = 458,931 × 458,931
  4. Step 4: Simplify right side
    211,249.50x = 210,617,662,761
  5. Step 5: Solve for x
    x = 210,617,662,761/211,249.50
  6. Step 6: Final answer
    x = 997,009.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.