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Finding the Third Proportional to 235,824 and 360,624

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Solution

The third proportional to 235,824 and 360,624 is: 551,469.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,824 : 360,624 = 360,624 : x
  2. Step 2: Convert to fraction form
    235,824/360,624 = 360,624/x
  3. Step 3: Cross multiply
    235,824x = 360,624 × 360,624
  4. Step 4: Simplify right side
    235,824x = 130,049,669,376
  5. Step 5: Solve for x
    x = 130,049,669,376/235,824
  6. Step 6: Final answer
    x = 551,469.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.