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Finding the Third Proportional to 202,564 and 441,574

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Solution

The third proportional to 202,564 and 441,574 is: 962,597.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,564 : 441,574 = 441,574 : x
  2. Step 2: Convert to fraction form
    202,564/441,574 = 441,574/x
  3. Step 3: Cross multiply
    202,564x = 441,574 × 441,574
  4. Step 4: Simplify right side
    202,564x = 194,987,597,476
  5. Step 5: Solve for x
    x = 194,987,597,476/202,564
  6. Step 6: Final answer
    x = 962,597.49

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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.