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Finding the Third Proportional to 201,355 and 441,460

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Solution

The third proportional to 201,355 and 441,460 is: 967,877.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,355 : 441,460 = 441,460 : x
  2. Step 2: Convert to fraction form
    201,355/441,460 = 441,460/x
  3. Step 3: Cross multiply
    201,355x = 441,460 × 441,460
  4. Step 4: Simplify right side
    201,355x = 194,886,931,600
  5. Step 5: Solve for x
    x = 194,886,931,600/201,355
  6. Step 6: Final answer
    x = 967,877.29

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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.