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Finding the Third Proportional to 201,399 and 423,510

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Solution

The third proportional to 201,399 and 423,510 is: 890,574.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,399 : 423,510 = 423,510 : x
  2. Step 2: Convert to fraction form
    201,399/423,510 = 423,510/x
  3. Step 3: Cross multiply
    201,399x = 423,510 × 423,510
  4. Step 4: Simplify right side
    201,399x = 179,360,720,100
  5. Step 5: Solve for x
    x = 179,360,720,100/201,399
  6. Step 6: Final answer
    x = 890,574.04

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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.