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Finding the Third Proportional to 201,348 and 441,447

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Solution

The third proportional to 201,348 and 441,447 is: 967,853.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,348 : 441,447 = 441,447 : x
  2. Step 2: Convert to fraction form
    201,348/441,447 = 441,447/x
  3. Step 3: Cross multiply
    201,348x = 441,447 × 441,447
  4. Step 4: Simplify right side
    201,348x = 194,875,453,809
  5. Step 5: Solve for x
    x = 194,875,453,809/201,348
  6. Step 6: Final answer
    x = 967,853.93

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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.