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Finding the Third Proportional to 211,777.50 and 463,650

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Solution

The third proportional to 211,777.50 and 463,650 is: 1,015,081.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,777.50 : 463,650 = 463,650 : x
  2. Step 2: Convert to fraction form
    211,777.50/463,650 = 463,650/x
  3. Step 3: Cross multiply
    211,777.50x = 463,650 × 463,650
  4. Step 4: Simplify right side
    211,777.50x = 214,971,322,500
  5. Step 5: Solve for x
    x = 214,971,322,500/211,777.50
  6. Step 6: Final answer
    x = 1,015,081.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.