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Finding the Third Proportional to 202,628 and 439,600

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Solution

The third proportional to 202,628 and 439,600 is: 953,709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,628 : 439,600 = 439,600 : x
  2. Step 2: Convert to fraction form
    202,628/439,600 = 439,600/x
  3. Step 3: Cross multiply
    202,628x = 439,600 × 439,600
  4. Step 4: Simplify right side
    202,628x = 193,248,160,000
  5. Step 5: Solve for x
    x = 193,248,160,000/202,628
  6. Step 6: Final answer
    x = 953,709.06

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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.