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Finding the Third Proportional to 224,423 and 335,849

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Solution

The third proportional to 224,423 and 335,849 is: 502,598.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,423 : 335,849 = 335,849 : x
  2. Step 2: Convert to fraction form
    224,423/335,849 = 335,849/x
  3. Step 3: Cross multiply
    224,423x = 335,849 × 335,849
  4. Step 4: Simplify right side
    224,423x = 112,794,550,801
  5. Step 5: Solve for x
    x = 112,794,550,801/224,423
  6. Step 6: Final answer
    x = 502,598.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.