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Finding the Third Proportional to 201,370 and 441,490

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Solution

The third proportional to 201,370 and 441,490 is: 967,936.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,370 : 441,490 = 441,490 : x
  2. Step 2: Convert to fraction form
    201,370/441,490 = 441,490/x
  3. Step 3: Cross multiply
    201,370x = 441,490 × 441,490
  4. Step 4: Simplify right side
    201,370x = 194,913,420,100
  5. Step 5: Solve for x
    x = 194,913,420,100/201,370
  6. Step 6: Final answer
    x = 967,936.73

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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.