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Finding the Third Proportional to 201,789 and 424,489

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Solution

The third proportional to 201,789 and 424,489 is: 892,966.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,789 : 424,489 = 424,489 : x
  2. Step 2: Convert to fraction form
    201,789/424,489 = 424,489/x
  3. Step 3: Cross multiply
    201,789x = 424,489 × 424,489
  4. Step 4: Simplify right side
    201,789x = 180,190,911,121
  5. Step 5: Solve for x
    x = 180,190,911,121/201,789
  6. Step 6: Final answer
    x = 892,966.97

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.