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Finding the Third Proportional to 201,506 and 423,694

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Solution

The third proportional to 201,506 and 423,694 is: 890,874.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,506 : 423,694 = 423,694 : x
  2. Step 2: Convert to fraction form
    201,506/423,694 = 423,694/x
  3. Step 3: Cross multiply
    201,506x = 423,694 × 423,694
  4. Step 4: Simplify right side
    201,506x = 179,516,605,636
  5. Step 5: Solve for x
    x = 179,516,605,636/201,506
  6. Step 6: Final answer
    x = 890,874.74

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Why These Related Problems?

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