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Finding the Third Proportional to 201,510 and 423,696

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Solution

The third proportional to 201,510 and 423,696 is: 890,865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,510 : 423,696 = 423,696 : x
  2. Step 2: Convert to fraction form
    201,510/423,696 = 423,696/x
  3. Step 3: Cross multiply
    201,510x = 423,696 × 423,696
  4. Step 4: Simplify right side
    201,510x = 179,518,300,416
  5. Step 5: Solve for x
    x = 179,518,300,416/201,510
  6. Step 6: Final answer
    x = 890,865.47

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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.