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Finding the Third Proportional to 202,040 and 439,549

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Solution

The third proportional to 202,040 and 439,549 is: 956,262.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,040 : 439,549 = 439,549 : x
  2. Step 2: Convert to fraction form
    202,040/439,549 = 439,549/x
  3. Step 3: Cross multiply
    202,040x = 439,549 × 439,549
  4. Step 4: Simplify right side
    202,040x = 193,203,323,401
  5. Step 5: Solve for x
    x = 193,203,323,401/202,040
  6. Step 6: Final answer
    x = 956,262.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.